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Search: id:A133588
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| A133588 |
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Primes made from cubes with every digit decreased by 1, and no carrying. |
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+0
1
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| 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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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 (mathar(AT)strw.leidenuniv.nl), Jan 08 2008
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EXAMPLE
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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
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CROSSREFS
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Cf. A000040, A000578, A002275, A061844.
Sequence in context: A056590 A065542 A015561 this_sequence A081338 A142981 A120272
Adjacent sequences: A133585 A133586 A133587 this_sequence A133589 A133590 A133591
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KEYWORD
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base,easy,nonn,less
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 27 2007
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EXTENSIONS
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Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 08 2008
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