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A133588
Primes made from cubes with every digit decreased by 1 and no carrying.
0
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
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
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