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Search: id:A135047
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| A135047 |
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Initial members of an octuplet of generalized Fermat primes: numbers n such that (n+m)^4+1 is prime for m=0,2,4,6,8,10,12 and 14. |
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1
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| 10332305196, 15731023654, 202193785336, 417860702688, 427241399860, 648488931216
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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n^4+1 can be prime for at most eight consecutive even numbers n, otherwise at least one member would be divisible by 17.
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EXAMPLE
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a(1)=10332305196 because 103323051964^4+1 is prime and (10332305196+m)^4+1 is prime for all even m up to 14.
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CROSSREFS
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Cf. A000068.
Sequence in context: A159569 A159292 A144648 this_sequence A017541 A112453 A095426
Adjacent sequences: A135044 A135045 A135046 this_sequence A135048 A135049 A135050
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KEYWORD
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nonn
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AUTHOR
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Martin Raab (raab-martin(AT)gmx.de), Feb 11 2008
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