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A070028 Absolute primes: primes whose initial, all intermediate and final sums of digits are primes. 1
2, 3, 5, 7, 11, 113, 131, 311, 11111111111111111111111 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The next terms are R(317) and R(1031) where R(n)=(10^n-1)/9 is a repunit prime. This sequence is a subsequence of A003459 and A070027.

EXAMPLE

113 is a term because 113 and permutations 131 and 311 are prime as is 1+1+3=5. 11111111111111111111111 is a term because it is prime, all permutations of its digits are prime, the sum of its digits, 23, is prime and 2+3=5 is also prime.

CROSSREFS

Cf. A003459 (absolute primes), A004022 (repunit primes), A070027.

Sequence in context: A033938 A069598 A049575 * A084836 A062351 A185267

Adjacent sequences:  A070025 A070026 A070027 * A070029 A070030 A070031

KEYWORD

base,nonn

AUTHOR

Rick L. Shepherd (rshepherd2(AT)hotmail.com), Apr 15 2002

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Last modified February 16 09:00 EST 2012. Contains 205904 sequences.