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A084047 Smallest prime p such that p - n is an n-th power, or 0 if no such number exists; i.e., smallest prime of the form k^n + n. 3
2, 3, 11, 5, 37, 7, 268435463, 6569, 521, 11, 36028797018963979, 13, 859935929762876868984659981, 4807339234680508004200143948920808143, 32783, 17, 30491346729331195921, 19, 32064977213018365645815827 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..19.

EXAMPLE

a(2) = 3 = 1^2 + 2; a(4) = 5 = 1^4 + 4; a(6) = 7 = 1^6 + 6. In general, if n+1 is prime, then a(n) = n + 1 = 1^n + n.

CROSSREFS

Cf. A084046.

Sequence in context: A137332 A292473 A269253 * A282770 A145077 A127376

Adjacent sequences:  A084044 A084045 A084046 * A084048 A084049 A084050

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 26 2003

EXTENSIONS

Corrected and extended by Ray Chandler, Jun 16 2003

STATUS

approved

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Last modified December 5 10:45 EST 2019. Contains 329751 sequences. (Running on oeis4.)