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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

%I #9 Jul 29 2017 13:33:32

%S 2,2,5,0,1019,15619,2799359999993,6553,503,16679880978191,

%T 8293509467471861,244140613,8179,152736582765019941952958691637187,

%U 5097655355238390956017,0,18909044154723310956357640154206945542127

%N 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.

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

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

%Y Cf. A084047.

%K base,nonn

%O 1,1

%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 26 2003

%E More terms from _Ray Chandler_, Jun 16 2003

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