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A084046 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. 2
2, 2, 5, 0, 1019, 15619, 2799359999993, 6553, 503, 16679880978191, 8293509467471861, 244140613, 8179, 152736582765019941952958691637187, 5097655355238390956017, 0, 18909044154723310956357640154206945542127 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(4n^2) = 0. Conjecture: if a(k) = 0 then k is an even square.

LINKS

Table of n, a(n) for n=1..17.

EXAMPLE

a(5) = 1019 as 1019 + 5 = 1024 = 4^5.

CROSSREFS

Cf. A084047.

Sequence in context: A100247 A194123 A011342 * A200493 A267857 A173169

Adjacent sequences:  A084043 A084044 A084045 * A084047 A084048 A084049

KEYWORD

base,nonn

AUTHOR

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

EXTENSIONS

More terms from Ray Chandler, Jun 16 2003

STATUS

approved

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Last modified January 18 16:27 EST 2020. Contains 331011 sequences. (Running on oeis4.)