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A126143 Primes whose sum of the digits of their cubes is also a prime. +0
1
13, 17, 23, 37, 47, 67, 107, 139, 181, 193, 211, 223, 229, 241, 283, 307, 311, 313, 331, 337, 349, 353, 367, 373, 389, 397, 421, 433, 439, 487, 499, 523, 547, 571, 577, 587, 607, 613, 631, 709, 719, 727, 739, 751, 773, 787, 839, 853, 877, 881, 907, 983, 991 (list; graph; listen)
OFFSET

1,1

EXAMPLE

13^3=2197 2+1+9+7=19

17^3=4913 4+9+1+3=17

23^3=12167 1+2+1+6+7=17

MAPLE

P:=proc(n) local i, k, w; for i from 1 by 1 to n do w:=0; k:=ithprime(i)^3; while k>0 do w:=w+(k-trunc(k/10)*10); k:=trunc(k/10); od; if isprime(w) then print(ithprime(i)); fi; od; end: P(500);

CROSSREFS

Sequence in context: A120157 A022893 A038680 this_sequence A125262 A104278 A129070

Adjacent sequences: A126140 A126141 A126142 this_sequence A126144 A126145 A126146

KEYWORD

easy,nonn

AUTHOR

Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Mar 07 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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