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A084745 Smallest prime of the form n^k - k, or 0 if no such prime exists. +0
2
2, 2, 3, 23, 5, 47, 7, 79, 997, 5559917313492231463, 11, 167, 13, 223, 4093, 24137563, 17, 359, 19, 439, 10947877107572929152919737180202022857988400441953615831 (list; graph; listen)
OFFSET

2,1

COMMENT

a(11 > 379749833583227. Conjecture: No entry is zero.

EXAMPLE

a(7) = 47 = 7^2 -2.

MAPLE

a := proc(n) local k; k := 1; while not isprime(n^k-k) do k := k+1 od; n^k-k end: seq(a(n), n=2..35);

CROSSREFS

Cf. A084746.

Adjacent sequences: A084742 A084743 A084744 this_sequence A084746 A084747 A084748

Sequence in context: A049132 A087768 A113604 this_sequence A036503 A109590 A074935

KEYWORD

nonn

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jun 15 2003

EXTENSIONS

More terms from Alec Mihailovs (Alec(AT)Mihailovs.com), Jun 16 2003. The next term is too large to include.

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Last modified November 3 12:59 EST 2009. Contains 165766 sequences.


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