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Search: id:A070525
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| A070525 |
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n-th cyclotomic polynomial evaluated at Phi[n] is a prime number. |
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+0
3
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| 2, 3, 4, 6, 7, 8, 12, 18, 21, 30, 45, 48, 70, 120, 127, 153, 182, 204, 212, 282, 318, 322, 910, 1167, 1177, 1342, 1680, 1963, 2670, 4398, 4655, 8088, 8599, 8808
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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These are probable primes for n > 910. No others for n <= 10000. The prime values of n are 2, 3, 7, 127 and 8599 (A088856). - T. D. Noe (noe(AT)sspectra.com), Nov 23 2003
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EXAMPLE
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n=7: Phi[7]=6, Cyclotomic[7,6]=1+6+36+216+1296+7776+46656=55987 is prime.
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MATHEMATICA
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Do[s=Cyclotomic[n, EulerPhi[n]]; If[PrimeQ[s], Print[n]], {n, 1, 400}]
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CROSSREFS
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Cf. A070518-A070524.
Cf. A090159.
Sequence in context: A018399 A029748 A018314 this_sequence A099005 A096360 A039087
Adjacent sequences: A070522 A070523 A070524 this_sequence A070526 A070527 A070528
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), May 02 2002
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EXTENSIONS
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More terms from T. D. Noe (noe(AT)sspectra.com), Nov 23 2003
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