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A243893 a(n) = prime(k-1) with k = n^2 + prime(n)^2. 2
7, 37, 137, 311, 829, 1249, 2269, 2939, 4483, 7411, 8681, 12653, 15877, 17827, 21673, 28087, 35393, 38317, 46957, 53327, 56897, 67493, 75269, 87523, 105143, 115057, 120427, 130811, 136547, 147863, 189067, 202481, 222991, 230393, 267401, 275677 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

prime(k-1) is also the largest prime number < (n^2 + prime(n)^2). Remark : Largest prime number < n^2 is A053001. Largest prime number < n^3 is A077037.

LINKS

Freimut Marschner, Table of n, a(n) for n = 1..63

FORMULA

a(n) = prime((n^2 + prime(n)^2) - 1) = prime(A106587(n) - 1).

EXAMPLE

n=1, 1^2=1, prime(1)^2 = 4, 1 + 4 = 5, 5 - 1= 4, prime(4) = 7 ;

n=2, 2^2=4, prime(2)^2 = 9, 4 + 9= 13, 13 - 1= 12, prime(12) = 37.

CROSSREFS

Cf. A000290 (squares n^2), A000040 (prime(n), A001248 (prime(n)^2), A106587 (n^2 + prime(n)^2).

Sequence in context: A082113 A196597 A143991 * A012885 A162541 A196574

Adjacent sequences:  A243890 A243891 A243892 * A243894 A243895 A243896

KEYWORD

nonn

AUTHOR

Freimut Marschner, Jun 14 2014

STATUS

approved

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Last modified July 25 10:20 EDT 2017. Contains 289792 sequences.