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A063789 a(n) is the largest prime gap between n^2 and (n+1)^2. 1

%I

%S 1,2,2,4,2,4,6,6,8,4,6,6,10,12,10,6,14,10,8,10,12,12,10,10,12,10,8,12,

%T 14,10,12,18,22,12,18,34,18,12,14,20,12,16,18,22,14,24,16,22,14,22,14,

%U 14,18,28,20,26,28,20,12,16,22,20,22,24,30,18,24,18,30,16,28,24,30,32

%N a(n) is the largest prime gap between n^2 and (n+1)^2.

%H Harry J. Smith, <a href="/A063789/b063789.txt">Table of n, a(n) for n = 1..2000</a>

%e Primes between 64 = 8^2 and 81 = (8+1)^2: 67, 71, 73 and 79; so 79 - 73 = 6 = a(8).

%o (PARI) { for (n=1, 2000, p=nextprime(n^2); q=precprime((n + 1)^2); a=0; r=0; while (r<q, r=nextprime(p+1); g=r-p; p=r; if (g>a, a=g)); write("b063789.txt", n, " ", a) ) } \\ _Harry J. Smith_, Aug 31 2009

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Aug 17 2001

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Last modified October 25 22:20 EDT 2021. Contains 348256 sequences. (Running on oeis4.)