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Search: id:A113840
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| A113840 |
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Palindromes that are sandwiched between a prime and a powerful(1) number, in any order. |
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+0
1
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| 2, 3, 8, 242, 676, 42024, 625946649526, 678176310013671876
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Here we are considering powerful numbers (first definition) A001694. Note that, by definition, 1 is powerful.
a(9) > 10^18. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Oct 01 2009]
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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EXAMPLE
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42023 prime, 42024 palindrome, 42025=5^2*41^2 powerful(1).
625946649525=3^2*5^2*29^2*149^3 powerful(1), 625946649526 palindrome, 625946649527 prime.
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CROSSREFS
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Cf. A001694, A002113.
Sequence in context: A079938 A112237 A132502 this_sequence A075849 A005604 A114020
Adjacent sequences: A113837 A113838 A113839 this_sequence A113841 A113842 A113843
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KEYWORD
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base,hard,nonn
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AUTHOR
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Giovanni Resta (g.resta(AT)iit.cnr.it), Jan 24 2006
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EXTENSIONS
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a(8) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Oct 01 2009
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