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A048400 Primes with consecutive digits that differ exactly by 3. 8
2, 3, 5, 7, 41, 47, 14741, 14747, 74747, 1414741, 1474141, 7414741, 4141414747, 4147414147, 14141414141, 14141414741, 14141474741, 14141474747, 14147414741, 14147474141, 14147474147, 14741414747, 74141414147, 74141414741, 74147414741, 74741474741, 74747414141 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
All terms with more than a single digit must comprise only the digits 1, 4, and 7, because no number comprising the digits 2, 5, and 8 or the digits 3, 6, and 9 can be prime. - Harvey P. Dale, Mar 01 2023
LINKS
MATHEMATICA
Join[{2, 3, 5, 7}, Table[Select[FromDigits/@Tuples[{1, 4, 7}, n], PrimeQ[#]&& Union[ Abs[ Differences[ IntegerDigits[ #]]]]=={3}&], {n, 11}]//Flatten] (* Harvey P. Dale, Mar 01 2023 *)
CROSSREFS
Sequence in context: A110363 A235395 A090714 * A286319 A090716 A083820
KEYWORD
nonn,base
AUTHOR
Patrick De Geest, Apr 15 1999
EXTENSIONS
More terms from Naohiro Nomoto, Jul 28 2001
More terms from Sean A. Irvine, Jun 15 2021
STATUS
approved

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Last modified September 28 06:53 EDT 2023. Contains 365724 sequences. (Running on oeis4.)