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A099359
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a(n) = (2^n + 1)^3 - 2.
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2
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6, 25, 123, 727, 4911, 35935, 274623, 2146687, 16974591, 135005695, 1076890623, 8602523647, 68769820671, 549957165055, 4398851866623, 35187593412607, 281487861809151, 2251851353686015, 18014604668698623, 144116012711149567
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Similar to Kynea number, with exponent 3.
These can be prime, as with Kynea numbers. In this sequence, primes include a(3) = 727, a(7) = 2146687, a(11) = 8602523647. Such a(n) must have prime n and can be conjectured to be infinite in number. - Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 19 2004
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LINKS
| Eric Weisstein's World of Mathematics, Integer sequence primes.
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EXAMPLE
| (2^1 + 1)^3 - 2 = 25
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MATHEMATICA
| Table[(2^n + 1)^3 - 2, {n, 19}] (from Robert G. Wilson v Nov 23 2004)
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CROSSREFS
| Cf. A098878.
Sequence in context: A120758 A179603 A153481 * A073967 A188207 A082430
Adjacent sequences: A099356 A099357 A099358 * A099360 A099361 A099362
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KEYWORD
| nonn
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AUTHOR
| Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Nov 16 2004
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 23 2004
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