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Search: id:A101753
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| A101753 |
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Numbers n such that sum(n^m), m=0..n is prime. |
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+0
1
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OFFSET
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1,2
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COMMENT
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Value of sum for n=126 has been checked to be probably prime with the isprime functions of PARI and Maple V. Also checked with ECM - see link.
Note that n+1 must be prime and hence a(k)=A088856(k)-1. Another way to compute the number is (n^(n+1)-1)/(n-1). - T. D. Noe (noe(AT)sspectra.com), Dec 15 2004
Value of sum for n=126 has been certified prime with Primo. - Ryan Propper (rpropper(AT)stanford.edu), Jul 11 2005
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LINKS
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www.alpertron.com, ECM.HTM
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EXAMPLE
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6 is in the sequence because 6^0 + 6^1 + 6^2 + 6^3 + 6^4 + 6^5 + 6^6 = 55987 is prime.
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CROSSREFS
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Cf. A031973.
Cf. A088856 (primes p such that cyclotomic(p, p-1) is prime).
Sequence in context: A039716 A164955 A060001 this_sequence A156515 A090907 A159478
Adjacent sequences: A101750 A101751 A101752 this_sequence A101754 A101755 A101756
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KEYWORD
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more,nonn
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Dec 15 2004
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EXTENSIONS
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One more term from T. D. Noe (noe(AT)sspectra.com), Dec 15 2004
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