A133588 Primes made from cubes with every digit decreased by 1 and no carrying.

7, 53, 401, 617, 2713, 4721, 127217, 203321, 667577, 1188857, 3630521, 8320057, 11314657, 12776761, 14301073, 24176441, 37117433, 50051873, 56806201, 73176001, 82465553, 107075321, 176802361, 234461753, 324138041, 324408401

Offset

1,1

Comments

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.

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

Links

Table of n, a(n) for n=1..26.

Example

In order of the size of the prime, not the initial cube, so that the sequence is strictly increasing:
2^3 - 1 = 7
4^3 - 11 = 53
8^3 - 111 = 401
12^3 - 1111 = 617
24^3 - 11111 = 2713
18^3 - 1111 = 4721
62^3 - 111111 = 127217
68^3 - 111111 = 203321
92^3 - 111111 = 667577
132^3 - 1111111 = 1188857
168^3 - 1111111 = 3630521
2232^3 - 11111111111 = 8320057
282^3 - 11111111 = 11314657
288^3 - 11111111 = 12776761
294^3 - 11111111 = 14301073
328^3 - 11111111 = 24176441
364^3 - 11111111 = 37117433
394^3 - 11111111 = 50051873
408^3 - 11111111 = 56806201
1058^3 - 1111111111 = 73176001
454^3 - 11111111 = 82465553

Crossrefs

Cf. A000040, A000578, A002275, A061844.

Sequence in context: A065542 A279269 A015561 * A163306 A081338 A367937

Adjacent sequences: A133585 A133586 A133587 * A133589 A133590 A133591

Keyword

base,easy,nonn,less

Author

Jonathan Vos Post, Dec 27 2007

Extensions

Corrected and extended by R. J. Mathar, Jan 08 2008

Status

approved