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Search: id:A126808
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| A126808 |
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Let p be a prime with decimal expansion abcd...fg. Then p is in the sequence if ab+bc+cd+...+fg is a prime. |
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+0 1
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| 13, 17, 31, 71, 211, 419, 617, 1013, 1021, 1031, 1051, 1151, 1181, 1193, 1201, 1213, 1217, 1231, 1237, 1279, 1291, 1297, 1301, 1303, 1307, 1321, 1327, 1439, 1451, 1493, 1511, 1531, 1543, 1549, 1571, 1579, 1597, 1657, 1709, 1721, 1733, 1811, 1871, 1877
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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Take 1297. 1*2 + 2*9 + 9*7 = 2 + 18 + 63 = 83, a prime.
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MATHEMATICA
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Select[Prime@Range[300], PrimeQ[Plus @@ Times @@@ Partition[IntegerDigits[ # ], 2, 1]] &] (*Chandler*)
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CROSSREFS
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Sequence in context: A129338 A138535 A062338 this_sequence A053009 A069485 A109308
Adjacent sequences: A126805 A126806 A126807 this_sequence A126809 A126810 A126811
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KEYWORD
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nonn,base,easy
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AUTHOR
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J. M. Bergot (thekingfishb(AT)yahoo.ca), Mar 14 2007
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EXTENSIONS
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Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Mar 16 2007
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