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Search: id:A082806
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| A082806 |
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Palindromes which are prime and the sum of the digits is also prime. |
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+0
4
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| 2, 3, 5, 7, 11, 101, 131, 151, 191, 313, 353, 373, 757, 797, 919, 10301, 10501, 11311, 12721, 13331, 13931, 14341, 14741, 15551, 16361, 16561, 18181, 19391, 19991, 30103, 30703, 31513, 32323, 33533, 34543, 35153, 35353, 35753, 36563, 38183
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Most of the initial palindromic primes are members.
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EXAMPLE
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E.g. 12721 is a palindromic prime and 1+2+7+2+1 = 13 is also prime.
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MATHEMATICA
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Select[ Range[390000], PrimeQ[ # ] && FromDigits[ Reverse[ IntegerDigits[ # ]]] == # && PrimeQ[ Plus @@ IntegerDigits[ # ]] & ] - Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 17 2003
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CROSSREFS
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Cf. A002385.
Adjacent sequences: A082803 A082804 A082805 this_sequence A082807 A082808 A082809
Sequence in context: A083139 A088562 A083712 this_sequence A109574 A084837 A062352
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 20 2003
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EXTENSIONS
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Corrected and extended by Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 07 2006
Edited by njas at the suggestion of Andrew Plewe, May 14 2007
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