A224223 a(0)=2; for n>0, a(n) = smallest prime not occurring earlier in the sequence such that a(n-1)+a(n) is a multiple of n^2. If no such prime exists, the sequence terminates.

2, 3, 5, 13, 19, 31, 41, 449, 127, 197, 103, 139, 149, 1879, 277, 173, 83, 5119, 389, 1777, 223, 659, 1277, 839, 313, 937, 1091, 367, 1201, 5527, 773, 4993, 1151, 7561, 2843, 4507, 677, 4799, 977, 5107, 4493, 15679, 7253, 26029, 3011, 1039, 5309, 3527

Offset

0,1

Comments

Is this sequence infinite and, if so, is it a permutation of the primes? The answers are probably Yes and No (7 has not appeared after 10000 terms). Compare A134204.

Links

N. J. A. Sloane, Table of n, a(n) for n = 0..9999

Crossrefs

Cf. A134204, A224221, A224222, A224229.

Sequence in context: A164958 A145908 A173830 * A238497 A061305 A177374

Adjacent sequences: A224220 A224221 A224222 * A224224 A224225 A224226

Keyword

nonn,look

Author

Daniel Drucker and N. J. A. Sloane, Apr 05 2013

Status

approved