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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 (list; graph; refs; listen; history; text; internal format)
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 A142981

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

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Last modified November 20 23:06 EST 2019. Contains 329348 sequences. (Running on oeis4.)