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Search: id:A007500
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| A007500 |
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Primes whose reversal in base 10 is also prime (called "palindromic primes" by D. Wells, although that name usually refers to A002385).
(Formerly M0657)
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+0
31
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| 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 101, 107, 113, 131, 149, 151, 157, 167, 179, 181, 191, 199, 311, 313, 337, 347, 353, 359, 373, 383, 389, 701, 709, 727, 733, 739, 743, 751, 757, 761, 769, 787, 797, 907, 919, 929, 937, 941, 953, 967, 971, 983, 991, 1009, 1021
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The numbers themselves need not be palindromes.
The range is a subset of the range of A071786. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 06 2009]
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, 134.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
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MATHEMATICA
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Select[ Prime[ Range[ 168 ] ], PrimeQ[ FromDigits[ Reverse[ IntegerDigits[ # ] ] ] ]& ] (from Zak Seidov, corrected by T. D. Noe)
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CROSSREFS
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Cf. A006567, A007628.
Cf. A002385 (primes that are palindromes in base 10)
Equals A002385 union A006567.
Complement of A076056 with respect to A000040. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 06 2009]
Sequence in context: A055387 A061461 A069706 this_sequence A090933 A107845 A090934
Adjacent sequences: A007497 A007498 A007499 this_sequence A007501 A007502 A007503
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KEYWORD
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base,nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Oct 31 2000
Added further terms to the sequence Avik Roy (avik_3.1416(AT)yahoo.co.in), Jan 16 2009. Checked by N. J. A. Sloane (njas(AT)research.att.com), Jan 20 2009.
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