A133588 - OEIS

%I #5 Mar 30 2012 18:40:44

%S 7,53,401,617,2713,4721,127217,203321,667577,1188857,3630521,8320057,

%T 11314657,12776761,14301073,24176441,37117433,50051873,56806201,

%U 73176001,82465553,107075321,176802361,234461753,324138041,324408401

%N Primes made from cubes with every digit decreased by 1 and no carrying.

%C A000040 INTERSECTION {n-digit cube in A000578 - n-digit repdigit A002275(n) if that subtraction in base 10 is digit by digit with no carrying}. There are no other values less than 1000^3.

%C Created from table of cubes up to 500000^3: there may be missing terms! - _R. J. Mathar_, Jan 08 2008

%e In order of the size of the prime, not the initial cube, so that the sequence is strictly increasing:

%e 2^3 - 1 = 7

%e 4^3 - 11 = 53

%e 8^3 - 111 = 401

%e 12^3 - 1111 = 617

%e 24^3 - 11111 = 2713

%e 18^3 - 1111 = 4721

%e 62^3 - 111111 = 127217

%e 68^3 - 111111 = 203321

%e 92^3 - 111111 = 667577

%e 132^3 - 1111111 = 1188857

%e 168^3 - 1111111 = 3630521

%e 2232^3 - 11111111111 = 8320057

%e 282^3 - 11111111 = 11314657

%e 288^3 - 11111111 = 12776761

%e 294^3 - 11111111 = 14301073

%e 328^3 - 11111111 = 24176441

%e 364^3 - 11111111 = 37117433

%e 394^3 - 11111111 = 50051873

%e 408^3 - 11111111 = 56806201

%e 1058^3 - 1111111111 = 73176001

%e 454^3 - 11111111 = 82465553

%Y Cf. A000040, A000578, A002275, A061844.

%K base,easy,nonn,less

%O 1,1

%A _Jonathan Vos Post_, Dec 27 2007

%E Corrected and extended by _R. J. Mathar_, Jan 08 2008