A154756 Primes p such that ratio in A154754 is 3.

7, 13, 19, 61, 73, 79, 103, 109, 127, 139, 151, 163, 193, 199, 211, 241, 271, 307, 337, 349, 373, 409, 421, 523, 541, 547, 571, 607, 613, 673, 739, 757, 769, 787, 811, 853, 877, 883, 907, 919, 937, 967, 991, 1009, 1033, 1063, 1087, 1117, 1123, 1129, 1201

Offset

1,1

Comments

Note that all these primes have the form 6k+1, which is required for the equation x^2+x+1=0 (mod p) to have two integer solutions. However, this sequence has only about half of all 6k+1 primes. What other condition determines the p in this sequence? See A154755 for the primes not in this sequence.

Links

Table of n, a(n) for n=1..51.

Crossrefs

Cf. A000073

Sequence in context: A231506 A165724 A144232 * A024732 A024954 A070850

Adjacent sequences: A154753 A154754 A154755 * A154757 A154758 A154759

Keyword

nonn

Author

T. D. Noe, Jan 15 2009

Status

approved