Home primes: Difference between revisions
added RPL
(Added Python implementation for the Home Primes task) |
(added RPL) |
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HP20(15) = HP225(14) = HP3355(13) = HP51161(12) = HP114651(11) = HP3312739(10) = HP17194867(9) = HP194122073(8) = HP709273797(7) = HP39713717791(6) = HP113610337981(5) = HP733914786213(4) = HP3333723311815403(3) = HP131723655857429041(2) = HP772688237874641409(1) = 3318308475676071413
HP65(19) = HP513(18) = HP33319(17) = HP1113233(16) = HP11101203(15) = HP332353629(14) = HP33152324247(13) = HP3337473732109(12) = HP111801316843763(11) = HP151740406071813(10) = HP31313548335458223(9) = HP3397179373752371411(8) = HP157116011350675311441(7) = HP331333391143947279384649(6) = HP11232040692636417517893491(5) = HP711175663983039633268945697(4) = HP292951656531350398312122544283(3) = HP2283450603791282934064985326977(2) = HP333297925330304453879367290955541(1) = 1381321118321175157763339900357651</pre>
=={{header|PARI/GP}}==
{{trans|Julia}}
<syntaxhighlight lang="PARI/GP">
homeprimechain(n) = {
my(chain = [], concat_result, factors, factor_str);
while (!isprime(n),
chain = concat(chain, n); /* Append n to the chain */
factors = factor(n);
/* Correctly build the concatenated string of factors */
factor_str = Str(concat(Vec(vector(#factors~, i,
concat(Vec(concat(vector(factors[i, 2], j, Str(factors[i, 1])))))))));
concat_result = factor_str;
\\print("concat_result=" concat_result);
n = eval(concat_result); /* Convert string back to number */
);
concat(chain, n); /* Append the final prime to the chain */
}
printHPiter(n, numperline = 4) = {
my(chain = homeprimechain(n), len = #chain, i);
for (i = 1, len,
if (i < len,
print1("HP" , chain[i] , " (" , len - i , ") = " , if(i % numperline == 0, "\n", "")),
print(chain[i], " is prime.\n\n");
);
);
}
{
/* Iterate over a set of numbers */
forstep(i = 2, 20, 1, print("Home Prime chain for ", i, ": "); printHPiter(i););
printHPiter(65);
}
</syntaxhighlight>
{{out}}
<pre>
Home Prime chain for 2:
2 is prime.
Home Prime chain for 3:
3 is prime.
Home Prime chain for 4:
HP4 (2) = HP22 (1) = 211 is prime.
Home Prime chain for 5:
5 is prime.
Home Prime chain for 6:
HP6 (1) = 23 is prime.
Home Prime chain for 7:
7 is prime.
Home Prime chain for 8:
HP8 (13) = HP222 (12) = HP2337 (11) = HP31941 (10) =
HP33371313 (9) = HP311123771 (8) = HP7149317941 (7) = HP22931219729 (6) =
HP112084656339 (5) = HP3347911118189 (4) = HP11613496501723 (3) = HP97130517917327 (2) =
HP531832651281459 (1) = 3331113965338635107 is prime.
Home Prime chain for 9:
HP9 (2) = HP33 (1) = 311 is prime.
Home Prime chain for 10:
HP10 (4) = HP25 (3) = HP55 (2) = HP511 (1) =
773 is prime.
Home Prime chain for 11:
11 is prime.
Home Prime chain for 12:
HP12 (1) = 223 is prime.
Home Prime chain for 13:
13 is prime.
Home Prime chain for 14:
HP14 (5) = HP27 (4) = HP333 (3) = HP3337 (2) =
HP4771 (1) = 13367 is prime.
Home Prime chain for 15:
HP15 (4) = HP35 (3) = HP57 (2) = HP319 (1) =
1129 is prime.
Home Prime chain for 16:
HP16 (4) = HP2222 (3) = HP211101 (2) = HP3116397 (1) =
31636373 is prime.
Home Prime chain for 17:
17 is prime.
Home Prime chain for 18:
HP18 (1) = 233 is prime.
Home Prime chain for 19:
19 is prime.
Home Prime chain for 20:
HP20 (15) = HP225 (14) = HP3355 (13) = HP51161 (12) =
HP114651 (11) = HP3312739 (10) = HP17194867 (9) = HP194122073 (8) =
HP709273797 (7) = HP39713717791 (6) = HP113610337981 (5) = HP733914786213 (4) =
HP3333723311815403 (3) = HP131723655857429041 (2) = HP772688237874641409 (1) = 3318308475676071413 is prime.
HP65 (19) = HP513 (18) = HP33319 (17) = HP1113233 (16) =
HP11101203 (15) = HP332353629 (14) = HP33152324247 (13) = HP3337473732109 (12) =
HP111801316843763 (11) = HP151740406071813 (10) = HP31313548335458223 (9) = HP3397179373752371411 (8) =
HP157116011350675311441 (7) = HP331333391143947279384649 (6) = HP11232040692636417517893491 (5) = HP711175663983039633268945697 (4) =
HP292951656531350398312122544283 (3) = HP2283450603791282934064985326977 (2) = HP333297925330304453879367290955541 (1) = 1381321118321175157763339900357651 is prime.
</pre>
=={{header|Perl}}==
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</pre>
=={{header|RPL}}==
{{works with|HP|49}}
« FACTORS ""
OVER SIZE 1 - 1 '''FOR''' j
"" PICK3 j DUP 1 + SUB EVAL ROT
1 ROT '''START''' OVER + '''NEXT'''
NIP +
-2 '''STEP'''
NIP STR→
» '<span style="color:blue">CONCFACT</span>' STO
« 0 → iter
« '''WHILE''' DUP ISPRIME? NOT
'''REPEAT''' DUP <span style="color:blue">CONCFACT</span> 'iter' 1 STO+ '''END'''
'''IF''' iter '''THEN'''
1 iter '''FOR''' j
"HP" ROT + "(" + j + ") = " + SWAP +
'''NEXT'''
'''ELSE''' "HP" OVER + " = " + SWAP + '''END'''
» » '<span style="color:blue">HP</span>' STO
« n <span style="color:blue">HP</span> » 'n' 2 20 1 SEQ
{{out}}
<pre>
1: { "HP2 = 2"
"HP3 = 3"
"HP4(2) = HP22(1) = 211"
"HP5 = 5"
"HP6(1) = 23"
"HP7 = 7"
"HP8(13) = HP222(12) = HP2337(11) = HP31941(10) = HP33371313(9) = HP311123771(8) = HP7149317941(7) = HP22931219729(6) = HP112084656339(5) = HP3347911118189(4) = HP11613496501723(3) = HP97130517917327(2) = HP531832651281459(1) = 3331113965338635107"
"HP9(2) = HP33(1) = 311"
"HP10(4) = HP25(3) = HP55(2) = HP511(1) = 773"
"HP11 = 11"
"HP12(1) = 223"
"HP13 = 13"
"HP14(5) = HP27(4) = HP333(3) = HP3337(2) = HP4771(1) = 13367"
"HP15(4) = HP35(3) = HP57(2) = HP319(1) = 1129"
"HP16(4) = HP2222(3) = HP211101(2) = HP3116397(1) = 31636373"
"HP17 = 17"
"HP18(1) = 233"
"HP19 = 19"
"HP20(15) = HP225(14) = HP3355(13) = HP51161(12) = HP114651(11) = HP3312739(10) = HP17194867(9) = HP194122073(8) = HP709273797(7) = HP39713717791(6) = HP113610337981(5) = HP733914786213(4) = HP3333723311815403(3) = HP131723655857429041(2) = HP772688237874641409(1) = 3318308475676071413" }
</pre>
=={{header|Ruby}}==
<syntaxhighlight lang="ruby">require 'prime'
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Reaches HP20 in about 0.52 seconds but HP65 took just under 40 minutes!
<syntaxhighlight lang="
import "./big" for BigInt
var list = (2..20).toList
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{{libheader|Wren-gmp}}
This reduces the overall time taken to 5.1 seconds. The factorization method used is essentially the same as the Wren-cli version so the vast improvement in performance is due solely to the use of GMP.
<syntaxhighlight lang="
import "./gmp" for Mpz
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