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Search: id:A130870
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| A130870 |
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Palindromic primes with squareful neighbors. |
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+0
1
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| 151, 727, 919, 10601, 14741, 15451, 15551, 16361, 16561, 19891, 30403, 31013, 33533, 34543, 35153, 39293, 70507, 71317, 72227, 73637, 75557, 78787, 79397, 93139, 94049, 94349, 94649, 94849, 94949, 95959, 97579, 1022201, 1055501
(list; graph; listen)
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OFFSET
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1,1
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MATHEMATICA
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squarefulQ[n_] := Last[Sort[Transpose[FactorInteger[n]][[2]]]] > 1; palindromeQ[n_] := Reverse[IntegerDigits[n]] == IntegerDigits[n]; Select[Range[3, 2000000], palindromeQ[ # ] && squarefulQ[ # - 1] && squarefulQ[ # + 1] && PrimeQ[ # ] &]
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CROSSREFS
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Cf. Palindromic subsequence of A075432 - Primes with no square-free neighbors.
Sequence in context: A142506 A164622 A139640 this_sequence A143012 A060889 A097640
Adjacent sequences: A130867 A130868 A130869 this_sequence A130871 A130872 A130873
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KEYWORD
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base,nonn
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AUTHOR
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Tanya Khovanova (tanyakh(AT)yahoo.com), Jul 24 2007
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