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Search: id:A069489
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| A069489 |
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Primes > 1000 in which every substring of length 3 is also prime. |
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+0
4
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| 1013, 1019, 1031, 1097, 1277, 1373, 1499, 1571, 1733, 1811, 1997, 2113, 2239, 2293, 2719, 3079, 3137, 3313, 3373, 3491, 3499, 3593, 3673, 3677, 3733, 3739, 3797, 4013, 4019, 4211, 4337, 4397, 4673, 4877, 4919, 5233, 5419, 5479, 6011, 6073, 6079, 6131
(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 4 as all 3-digit primes would be trivial members.
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EXAMPLE
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11317 is a term as the three substrings of length 3 i.e. 113,131 and 317 all are primes.
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MATHEMATICA
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Do[ If[ Union[ PrimeQ[ Map[ FromDigits, Partition[ IntegerDigits[ Prime[n]], 3, 1]]]] == {True}, Print[ Prime[n]]], {n, PrimePi[1000] + 1, 10^3}]
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CROSSREFS
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Cf. A069488 and A069490.
Sequence in context: A073144 A131461 A165295 this_sequence A157008 A161404 A126239
Adjacent sequences: A069486 A069487 A069488 this_sequence A069490 A069491 A069492
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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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