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Search: id:A070042
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| A070042 |
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At these values of n the first, 2nd, 3rd, 4th and 5th cyclotomic polynomials all give prime numbers. |
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3
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| 1068630, 1441590, 1867950, 3429300, 4084230, 5651730, 6322890, 6770610, 7158630, 7804830, 9437760, 9624270, 13625850, 23194860, 25848840, 26588520, 28714950, 29451840, 32984430, 33650580, 36500910, 38177130, 42856590
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OFFSET
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1,1
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FORMULA
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C1(n)=n-1, C2(n)=n+1, C3(n)=1+n+n^2, C4(n)=1+n^2 and C5(n)=1+n+n^2+n^3+n^4 are all primes.
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EXAMPLE
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n=1068630: gives quintet of primes of first, 2nd, 3rd, 4th and 5th cyclotomic polynomials: {1068629, 1068631, 1141971145531, 1141970076901, 1304096876879617162402531}.
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CROSSREFS
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Cf. A070155-A070157, A000068, A006313-A006316, A056993-A056995, A005574, A057465, A057002, A070020, A070025.
Adjacent sequences: A070039 A070040 A070041 this_sequence A070043 A070044 A070045
Sequence in context: A076247 A076248 A081638 this_sequence A109148 A077647 A086212
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KEYWORD
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easy,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), May 07 2002
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EXTENSIONS
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More terms from Don Reble (djr(AT)nk.ca), May 11 2002
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