I reinvented the finding prime numbers script in python

[kielanmatt]

i learned and re-invented the prime number script before getting to section 4.4 on python.org tutorial i re worked it and i think it works (i tried with the first 100 primes and ok)

This is it


# Finding prime numbers using a computer Erastothenes or summink like that sieve
f = 11 #f will be a very important value
ged = 16 #i can't be bothered to let the computer test 15 lower numbers so i start with 16
print ('2,3,5,7,11,13') # due to the construction of this script the first 6 primes are not
#written
while ged < 5000: #highest number to test
f = 11 #make sure that f equals 11 after the second WHILE statement BREAKS
if ged/2 == (ged-1)/2: # filters out any even numbers
if ged/3 == (ged-1)/3: # clears any multiplies of three
if ged/5 == (ged-1)/5: # any numbers ending with 0 or 5
if ged/7 == (ged-1)/7: # any multiplies of 7, this is done
# so there is less calculations in the loop below
while f <= ged: # there is no point in having the
# divisor "f" higher than the dividend "ged"this loop is not very processor efficient
# because it makes a lot of calculations
if ged/f == (ged-1)/f: # if ged is a
# multiple of f the answear to (ged-1)/f will be lower by 1 and get redirected to f = f+2
if f == ged: # no point to this
# function its here just to get the else function ELSE beneath working
print (ged) # prints ged
ged = ged+1 # makes ged
# higher by 1 so the next number gets tested
break # breaks the loop and
# returns to the first loop
else:
f = f+2 # if f is lower than
# ged AND ged is not the multiple of f, the next line adds 2 to f. This is because there is
# no use in having the divisor an even number, line 6 does the job already
elif f == ged: # does same as IF 5 lines
# above but if i were to delete that one the process would freeze at number 113
print (ged) # prints ged
ged = ged+1 # makes ged higher
break # breaks the loop
else: # if ged/f == (ged-1)/f OR f == ged do
# not apply
ged = ged +1 # makes ged higher
break # breaks the loop
else: # if the number tested "ged" is a multiple of 7
ged = ged+1 # repeat the loop with ged higher by 1
else: # if ged is a multiple of 5
ged = ged+1 # start again with a higher number
else: # if ged is a multiple of 3
ged = ged+1 # start again with ged higher
else: # if ged is a multiple of 2 /even number
ged = ged+1 # start again
#im currently working on a script that tests only one specified number, but i have to get to
#know the INPUT command
# copyright matthew kielan 2008

Im soo proud i made it (Im 13 ) i know its not a big achievement

[ssam]

An easier way to check if a number is a dividable by another is


if (n%7 == 0):
print n, "divides exactly by 7"

the % operator gives you the remainder. if the remainder is 0 then it divides exactly.

have you checked out the programing forum?
http://ubuntuforums.org/forumdisplay.php?f=39

looks like you'll be a fine hacker one day :-)

[klange]

Honestly, I prefer the much simpler but super-slow brute force method as seen in the following bit of Java:

import cs.*;
public class primeCounter {
public static void main (String[] args) {
int start, end;
if (args.length > 0) // Start at
start = Integer.parseInt(args[0]);
else {
System.out.print("Start: ");
start = Console.ReadInt();
}
if (args.length > 1) // Number to collect
end = Integer.parseInt(args[1]);
else {
System.out.print("End: ");
end = Console.ReadInt();
}
primesBetween(start, end);
System.out.println();
}
public static void primesBetween(int start, int end) {
for (int i=start; i<=end; i++) {
if (isPrime(i))
System.out.println(i);
}
}
public static boolean isPrime(int num) {
for (int i=2;i<=num/2+1;i++) {
if (num % i == 0 && num != 2)
return false;
}
return true;
}
}
Works for everything.

[wilsonmuse]

http://en.wikipedia.org/wiki/Prime_number#Finding_prime_numbers

There is a law: that a number not divisible by a prime less than the square root of itself is prime.

Try adding that into your algorithm.

[popch]

Honestly, I prefer the much simpler but super-slow brute force method as seen in the following bit of Java (...)

Works for everything.

Except possibly for employment.

[kielanmatt]

guys i only knew about that greek sieve method i'm not a high school post graduate so i dont know about that square root thing and anyway i have seen one algorithm including that and i didnt wanna copy.

i did this algorithm the first day i started programming in python so dont blame me for not knowing about
% function because i only got to section 4 of the programming tutorial

[saulgoode]

Finding prime numbers is far from being a trivial task and is very important in the field of encryption (which is based upon the product of two extremely large prime numbers).

If you are interested in the subject, I would recommend reading In Code (http://www.amazon.com/Code-Mathematical-Journey-Sarah-Flannery/dp/0761123849) by Sarah Flannery.

[klange]

Except possibly for employment.

Which is why that piece of code will never be put on my resume. Good thing I don't have a job that will ever involve finding prime numbers.

[kielanmatt]

i did it up to million it take summink about 4 seconds to generate 25 primes
where at 17-200 it took a second to generate all of 17-200 primes, but i expected that.
I also made the algorithm 1800% more efficient

[kielanmatt]

here you go

[781229, 781243, 781247, 781271, 781283, 781301, 781307, 781309, 781321, 781327]
[781351, 781357, 781367, 781369, 781387, 781397, 781399, 781409, 781423, 781427, 781433, 781453, 781481, 781483, 781493, 781511, 781513, 781519, 781523, 781531, 781559, 781567, 781589, 781601, 781607]
[781619, 781631, 781633, 781661, 781673, 781681, 781721, 781733, 781741, 781771, 781799, 781801, 781817, 781819, 781853, 781861, 781867, 781883, 781889, 781897, 781919, 781951, 781961, 781967, 781969]
[781973, 781987, 781997, 781999, 782003, 782009, 782011, 782053, 782057, 782071, 782083, 782087, 782107, 782113, 782123, 782129, 782137, 782141, 782147, 782149, 782183, 782189, 782191, 782209, 782219]
[782231, 782251, 782263, 782267, 782297, 782311, 782329, 782339, 782371, 782381, 782387, 782389, 782393, 782429, 782443, 782461, 782473, 782489, 782497, 782501, 782519, 782539, 782581, 782611, 782641]
[782659, 782669, 782671, 782687, 782689, 782707, 782711, 782723, 782777, 782783, 782791, 782839, 782849, 782861, 782891, 782911, 782921, 782941, 782963, 782981, 782983, 782993, 783007, 783011, 783019]
[783023, 783043, 783077, 783089, 783119, 783121, 783131, 783137, 783143, 783149, 783151, 783191, 783193, 783197, 783227, 783247, 783257, 783259, 783269, 783283, 783317, 783323, 783329, 783337, 783359]
[783361, 783373, 783379, 783407, 783413, 783421, 783473, 783487, 783527, 783529, 783533, 783553, 783557, 783569, 783571, 783599, 783613, 783619, 783641, 783647, 783661, 783677, 783689, 783691, 783701]
[783703, 783707, 783719, 783721, 783733, 783737, 783743, 783749, 783763, 783767, 783779, 783781, 783787, 783791, 783793, 783799, 783803, 783829, 783869, 783877, 783931, 783953, 784009, 784039, 784061]
[784081, 784087, 784097, 784103, 784109, 784117, 784129, 784153, 784171, 784181, 784183, 784211, 784213, 784219, 784229, 784243, 784249, 784283, 784307, 784309, 784313, 784321, 784327, 784349, 784351]
[784367, 784373, 784379, 784387, 784409, 784411, 784423, 784447, 784451, 784457, 784463, 784471, 784481, 784489, 784501, 784513, 784541, 784543, 784547, 784561, 784573, 784577, 784583, 784603, 784627]
[784649, 784661, 784687, 784697, 784717, 784723, 784727, 784753, 784789, 784799, 784831, 784837, 784841, 784859, 784867, 784897, 784913, 784919, 784939, 784957, 784961, 784981, 785003, 785017, 785033]
[785053, 785093, 785101, 785107, 785119, 785123, 785129, 785143, 785153, 785159, 785167, 785203, 785207, 785219, 785221, 785227, 785249, 785269, 785287, 785293, 785299, 785303, 785311, 785321, 785329]
[785333, 785341, 785347, 785353, 785357, 785363, 785377, 785413, 785423, 785431, 785459, 785461, 785483, 785501, 785503, 785527, 785537, 785549, 785569, 785573, 785579, 785591, 785597, 785623, 785627]
[785641, 785651, 785671, 785693, 785717, 785731, 785737, 785753, 785773, 785777, 785779, 785801, 785803, 785809, 785839, 785857, 785861, 785879, 785903, 785921, 785923, 785947, 785951, 785963, 786001]
[786013, 786017, 786031, 786047, 786053, 786059, 786061, 786077, 786109, 786127, 786151, 786167, 786173, 786179, 786197, 786211, 786223, 786241, 786251, 786271, 786307, 786311, 786319, 786329, 786337]
[786349, 786371, 786407, 786419, 786431, 786433, 786449, 786469, 786491, 786547, 786551, 786553, 786587, 786589, 786613, 786629, 786659, 786661, 786673, 786691, 786697, 786701, 786703, 786707, 786719]
[786739, 786763, 786803, 786823, 786829, 786833, 786859, 786881, 786887, 786889, 786901, 786931, 786937, 786941, 786949, 786959, 786971, 786979, 786983, 787021, 787043, 787051, 787057, 787067, 787069]
[787079, 787091, 787099, 787123, 787139, 787153, 787181, 787187, 787207, 787217, 787243, 787261, 787277, 787289, 787309, 787331, 787333, 787337, 787357, 787361, 787427, 787429, 787433, 787439, 787447]
[787469, 787477, 787483, 787489, 787513, 787517, 787519, 787529, 787537, 787541, 787547, 787573, 787601, 787609, 787621, 787639, 787649, 787667, 787697, 787711, 787747, 787751, 787757, 787769, 787771]
[787777, 787783, 787793, 787807, 787811, 787817, 787823, 787837, 787879, 787883, 787903, 787907, 787939, 787973, 787981, 787993, 787999, 788009, 788023, 788027, 788033, 788041, 788071, 788077, 788087]
[788089, 788093, 788107, 788129, 788153, 788159, 788167, 788173, 788189, 788209, 788213, 788231, 788261, 788267, 788287, 788309, 788317, 788321, 788351, 788353, 788357, 788363, 788369, 788377, 788383]
[788387, 788393, 788399, 788413, 788419, 788429, 788449, 788467, 788479, 788497, 788521, 788527, 788531, 788537, 788549, 788561, 788563, 788569, 788603, 788621, 788651, 788659, 788677, 788687, 788701]
[788719, 788761, 788779, 788789, 788813, 788819, 788849, 788863, 788867, 788869, 788873, 788891, 788897, 788903, 788927, 788933, 788941, 788947, 788959, 788971, 788993, 788999, 789001, 789017, 789029]
[789031, 789067, 789077, 789091, 789097, 789101, 789109, 789121, 789133, 789137, 789149, 789169, 789181, 789221, 789227, 789251, 789311, 789323, 789331, 789343, 789367, 789377, 789389, 789391, 789407]
[789419, 789443, 789473, 789491, 789493, 789511, 789527, 789533, 789557, 789571, 789577, 789587, 789589, 789611, 789623, 789631, 789653, 789671, 789673, 789683, 789689, 789709, 789713, 789721, 789731]
[789739, 789749, 789793, 789823, 789829, 789847, 789851, 789857, 789883, 789941, 789959, 789961, 789967, 789977, 789979, 790003, 790021, 790033, 790043, 790051, 790057, 790063, 790087, 790093, 790099]
[790121, 790169, 790171, 790189, 790199, 790201, 790219, 790241, 790261, 790271, 790277, 790289, 790291, 790327, 790331, 790333, 790351, 790369, 790379, 790397, 790403, 790417, 790421, 790429, 790451]
[790459, 790481, 790501, 790513, 790519, 790523, 790529, 790547, 790567, 790583, 790589, 790607, 790613, 790633, 790637, 790649, 790651, 790693, 790697, 790703, 790709, 790733, 790739, 790747, 790753]
[790781, 790793, 790817, 790819, 790831, 790843, 790861, 790871, 790879, 790883, 790897, 790927, 790957, 790961, 790967, 790969, 790991, 790997, 791003, 791009, 791017, 791029, 791047, 791053, 791081]
[791093, 791099, 791111, 791117, 791137, 791159, 791191, 791201, 791209, 791227, 791233, 791251, 791257, 791261, 791291, 791309, 791311, 791317, 791321, 791347, 791363, 791377, 791387, 791411, 791419]
[791431, 791443, 791447, 791473, 791489, 791519, 791543, 791561, 791563, 791569, 791573, 791599, 791627, 791629, 791657, 791663, 791677, 791699, 791773, 791783, 791789, 791797, 791801, 791803, 791827]
[791849, 791851, 791887, 791891, 791897, 791899, 791909, 791927, 791929, 791933, 791951, 791969, 791971, 791993, 792023, 792031, 792037, 792041, 792049, 792061, 792067, 792073, 792101, 792107, 792109]
[792119, 792131, 792151, 792163, 792179, 792223, 792227, 792229, 792241, 792247, 792257, 792263, 792277, 792283, 792293, 792299, 792301, 792307, 792317, 792359, 792371, 792377, 792383, 792397, 792413]
[792443, 792461, 792479, 792481, 792487, 792521, 792529, 792551, 792553, 792559, 792563, 792581, 792593, 792601, 792613, 792629, 792637, 792641, 792643, 792647, 792667, 792679, 792689, 792691, 792697]
[792703, 792709, 792713, 792731, 792751, 792769, 792793, 792797, 792821, 792871, 792881, 792893, 792907, 792919, 792929, 792941, 792959, 792973, 792983, 792989, 792991, 793043, 793069, 793099, 793103]
[793123, 793129, 793139, 793159, 793181, 793187, 793189, 793207, 793229, 793253, 793279, 793297, 793301, 793327, 793333, 793337, 793343, 793379, 793399, 793439, 793447, 793453, 793487, 793489, 793493]
[793511, 793517, 793519, 793537, 793547, 793553, 793561, 793591, 793601, 793607, 793621, 793627, 793633, 793669, 793673, 793691, 793699, 793711, 793717, 793721, 793733, 793739, 793757, 793769, 793777]
[793787, 793789, 793813, 793841, 793843, 793853, 793867, 793889, 793901, 793927, 793931, 793939, 793957, 793967, 793979, 793981, 793999, 794009, 794011, 794023, 794033, 794039, 794041, 794063, 794071]
[794077, 794089, 794111, 794113, 794119, 794137, 794141, 794149, 794153, 794161, 794173, 794179, 794191, 794201, 794203, 794207, 794221, 794231, 794239, 794249, 794327, 794341, 794363, 794383, 794389]
[794399, 794407, 794413, 794449, 794471, 794473, 794477, 794483, 794491, 794509, 794531, 794537, 794543, 794551, 794557, 794569, 794579, 794587, 794593, 794641, 794653, 794657, 794659, 794669, 794693]
[794711, 794741, 794743, 794749, 794779, 794831, 794879, 794881, 794887, 794921, 794923, 794953, 794957, 794993, 794999, 795001, 795007, 795023, 795071, 795077, 795079, 795083, 795097, 795101, 795103]
[795121, 795127, 795139, 795149, 795161, 795187, 795203, 795211, 795217, 795233, 795239, 795251, 795253, 795299, 795307, 795323, 795329, 795337, 795343, 795349, 795427, 795449, 795461, 795467, 795479]
[795493, 795503, 795517, 795527, 795533, 795539, 795551, 795581, 795589, 795601, 795643, 795647, 795649, 795653, 795659, 795661, 795667, 795679, 795703, 795709, 795713, 795727, 795737, 795761, 795763]
[795791, 795793, 795797, 795799, 795803, 795827, 795829, 795871, 795877, 795913, 795917, 795931, 795937, 795941, 795943, 795947, 795979, 795983, 795997, 796001, 796009, 796063, 796067, 796091, 796121]
[796139, 796141, 796151, 796171, 796177, 796181, 796189, 796193, 796217, 796247, 796259, 796267, 796291, 796303, 796307, 796337, 796339, 796361, 796363, 796373, 796379, 796387, 796391, 796409, 796447]
[796451, 796459, 796487, 796493, 796517, 796531, 796541, 796553, 796561, 796567, 796571, 796583, 796591, 796619, 796633, 796657, 796673, 796687, 796693, 796699, 796709, 796711, 796751, 796759, 796769]
[796777, 796781, 796799, 796801, 796813, 796819, 796847, 796849, 796853, 796867, 796871, 796877, 796889, 796921, 796931, 796933, 796937, 796951, 796967, 796969, 796981, 797003, 797009, 797021, 797029]
[797033, 797039, 797051, 797053, 797057, 797063, 797077, 797119, 797131, 797143, 797161, 797171, 797201, 797207, 797273, 797281, 797287, 797309, 797311, 797333, 797353, 797359, 797383, 797389, 797399]
[797417, 797429, 797473, 797497, 797507, 797509, 797539, 797549, 797551, 797557, 797561, 797567, 797569, 797579, 797581, 797591, 797593, 797611, 797627, 797633, 797647, 797681, 797689, 797701, 797711]
[797729, 797743, 797747, 797767, 797773, 797813, 797833, 797851, 797869, 797887, 797897, 797911, 797917, 797933, 797947, 797957, 797977, 797987, 798023, 798043, 798059, 798067, 798071, 798079, 798089]
[798097, 798101, 798121, 798131, 798139, 798143, 798151, 798173, 798179, 798191, 798197, 798199, 798221, 798223, 798227, 798251, 798257, 798263, 798271, 798293, 798319, 798331, 798373, 798383, 798397]
[798403, 798409, 798443, 798451, 798461, 798481, 798487, 798503, 798517, 798521, 798527, 798533, 798569, 798599, 798613, 798641, 798647, 798649, 798667, 798691, 798697, 798701, 798713, 798727, 798737]
[798751, 798757, 798773, 798781, 798799, 798823, 798871, 798887, 798911, 798923, 798929, 798937, 798943, 798961, 799003, 799021, 799031, 799061, 799063, 799091, 799093, 799103, 799147, 799151, 799171]
[799217, 799219, 799223, 799259, 799291, 799301, 799303, 799307, 799313, 799333, 799343, 799361, 799363, 799369, 799417, 799427, 799441, 799453, 799471, 799481, 799483, 799489, 799507, 799523, 799529]
[799543, 799553, 799573, 799609, 799613, 799619, 799621, 799633, 799637, 799651, 799657, 799661, 799679, 799723, 799727, 799739, 799741, 799753, 799759, 799789, 799801, 799807, 799817, 799837, 799853]
[799859, 799873, 799891, 799921, 799949, 799961, 799979, 799991, 799993, 799999, 800011, 800029, 800053, 800057, 800077, 800083, 800089, 800113, 800117, 800119, 800123, 800131, 800143, 800159, 800161]
[800171, 800209, 800213, 800221, 800231, 800237, 800243, 800281, 800287, 800291, 800311, 800329, 800333, 800351, 800357, 800399, 800407, 800417, 800419, 800441, 800447, 800473, 800477, 800483, 800497]
[800509, 800519, 800521, 800533, 800537, 800539, 800549, 800557, 800573, 800587, 800593, 800599, 800621, 800623, 800647, 800651, 800659, 800663, 800669, 800677, 800687, 800693, 800707, 800711, 800729]
[800731, 800741, 800743, 800759, 800773, 800783, 800801, 800861, 800873, 800879, 800897, 800903, 800909, 800923, 800953, 800959, 800971, 800977, 800993, 800999, 801001, 801007, 801011, 801019, 801037]
[801061, 801077, 801079, 801103, 801107, 801127, 801137, 801179, 801187, 801197, 801217, 801247, 801277, 801289, 801293, 801301, 801331, 801337, 801341, 801349, 801371, 801379, 801403, 801407, 801419]
[801421, 801461, 801469, 801487, 801503, 801517, 801539, 801551, 801557, 801569, 801571, 801607, 801611, 801617, 801631, 801641, 801677, 801683, 801701, 801707, 801709, 801733, 801761, 801791, 801809]
[801811, 801817, 801833, 801841, 801859, 801883, 801947, 801949, 801959, 801973, 801989, 802007, 802019, 802027, 802031, 802037, 802073, 802103, 802121, 802127, 802129, 802133, 802141, 802147, 802159]
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