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Search: id:A070028
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| A070028 |
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Absolute primes: primes whose initial, all intermediate and final sums of digits are primes. |
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+0
2
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| 2, 3, 5, 7, 11, 113, 131, 311, 11111111111111111111111
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A003459 (absolute primes), A004022 (repunit primes), A070027.
Sequence in context: A033938 A069598 A049575 this_sequence A084836 A062351 A088249
Adjacent sequences: A070025 A070026 A070027 this_sequence A070029 A070030 A070031
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KEYWORD
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base,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Apr 15 2002
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