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A123099
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Primes of the form 1+2n+3n^2+4n^3+5n^4.
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0
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547, 35983, 111049, 2738179, 6076687, 15860209, 53530639, 685318537, 1043755441, 1670649571, 2347515619, 9761226721, 10330521727, 12188475769, 15042514033, 25486958659, 30383211043, 40608270601, 45701408383
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Quintic analogue of A123059 Primes of the form 1+2n+3n^2+4n^3 = primes in A056578. Corresponding values of n are 3, 9, 12, 27, 33, 42, 57, 108, 120, 135, 147. One must have 3|n else 3|quintic. Note that 1+2n+3n^2+4n^3+5n^4 is the derivative of 1+n+n^2+n^3+n^4+n^5 = A053700.
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FORMULA
| A000040 INTERSECTION {1 + 2*n + 3*n^2 + 4*n^3 + 5*n^4 for n>0}. Primes in A056579.
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PROG
| (MAGMA) [ a: n in [0..400] | IsPrime(a) where a is 1+2*n+3*n^2+4*n^3+5*n^4] [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 13 2010]
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CROSSREFS
| Cf. A000040, A000012, A005408, A053699, A053700, A056109, A056579, A056578, A113531, A113532, A113618, A113630, A113632, A123059.
Sequence in context: A002606 A047637 A176089 * A015324 A103537 A136928
Adjacent sequences: A123096 A123097 A123098 * A123100 A123101 A123102
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KEYWORD
| easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Sep 27 2006
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