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Search: id:A117300
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| A117300 |
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Consider all pairs (p,q) of consecutive primes such that p and q both have k digits and q-p = k; sequence lists the values of q. |
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+0
2
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| 3, 13, 19, 31, 43, 61, 73, 1013, 1091, 1097, 1217, 1283, 1301, 1307, 1433, 1451, 1487, 1493, 1553, 1571, 1583, 1601, 1613, 1667, 1697, 1787, 1871, 1877, 1997, 2003, 2053, 2087, 2141, 2207, 2243, 2273, 2297, 2351, 2381, 2393, 2441, 2477, 2543, 2621, 2663
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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31 is in the sequence because (1) it is a 2-digit prime number, (2) the previous 2-digit prime number is 29 and (3) 31-29=2
1451 is in the sequence because (1) it is a 4-digit prime number, (2) the previous 4-digit prime number is 1447 and (3) 1451-1447=4
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CROSSREFS
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Cf. A117155.
Sequence in context: A045435 A038974 A079419 this_sequence A023215 A023239 A018621
Adjacent sequences: A117297 A117298 A117299 this_sequence A117301 A117302 A117303
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KEYWORD
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base,nonn
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), Apr 21 2006
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Apr 29 2007
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