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Search: id:A069488
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| A069488 |
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Primes > 100 in which every substring of length 2 is also prime. |
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+0
5
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| 113, 131, 137, 173, 179, 197, 311, 313, 317, 373, 379, 419, 431, 479, 613, 617, 619, 673, 719, 797, 971, 1117, 1171, 1319, 1373, 1973, 1979, 2311, 2371, 2971, 3119, 3137, 3719, 3797, 4111, 4373, 6113, 6131, 6173, 6197, 6719, 6737
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Minimum number of digits is taken to be 3 as all two-digit primes would be trivial members.
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EXAMPLE
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3719 is a term as the three substrings of length 2 i.e. 37, 71 and 19 are all prime.
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MATHEMATICA
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Do[ If[ Union[ PrimeQ[ Map[ FromDigits, Partition[ IntegerDigits[ Prime[n]], 2, 1]]]] == {True}, Print[ Prime[n]]], {n, PrimePi[100] + 1, 500}]
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CROSSREFS
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Cf. A069489 and A069490.
Sequence in context: A115486 A054033 A060591 this_sequence A131648 A095617 A139645
Adjacent sequences: A069485 A069486 A069487 this_sequence A069489 A069490 A069491
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KEYWORD
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nonn,base
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 30 2002
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EXTENSIONS
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Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 12 2002
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