A145843 Primes q which are not of the form 6*p*(6*p+x)-1 or 6*p*(6*p+x)+1 with p = prime and -6*p < x < 6*p

2, 3, 5, 7, 383, 647, 769, 863, 971, 1151, 1153, 1297, 1459, 1801, 2161, 2251, 2399, 2591, 2593, 2699, 2879, 2917, 2999, 3001, 3457, 3527, 3529, 3779, 3889, 4049, 4051, 4201, 4373, 4409, 4703, 4799, 4801, 4861, 5039, 5399, 5669, 5879, 5881, 6047, 6143

Offset

1,1

Comments

for n < 100000 more than 90% of the primes are of the form 6*p*(6*p+x) +1 or -1 with -6*p < x < 6*p, what for n > 100000 ?

Links

Pierre CAMI, Table of n, a(n) for n = 1..862

Example

2,3,5,7 are < 6*2, so the sequence starts 2,3,5,7 6*2*(6*2-11)-1=11 prime so 11 not in the sequence 6*2*(6*2-11)+1=13 prime so 13 not in the sequence ................ 383+1=384, 384/12 = 32, 383=6*2(6*2+20)-1, 20 > 6*2 so 383 = q(5)

Crossrefs

Sequence in context: A083183 A046477 A360789 * A090720 A114780 A241681

Adjacent sequences: A145840 A145841 A145842 * A145844 A145845 A145846

Keyword

nonn

Author

Pierre CAMI, Oct 21 2008

Status

approved