A290161 Initial primes of 7 consecutive primes with 6 consecutive gaps 12, 10, 8, 6, 4, 2.

752251, 1107751, 4956781, 5647471, 6929401, 10016521, 11516851, 12285631, 18117991, 19280311, 21327961, 21705517, 23946877, 24059011, 24436891, 25976611, 26970751, 29105731, 32254471, 32339521, 32465077, 32542387

Offset

1,1

Comments

All terms = {1,7} mod 30.

For initial primes of 7 consecutive primes with consecutive gaps 2, 4, 6, 8, 10, 12 see A190819.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..2000

Example

Prime(86279..86285) = {1107751, 1107763, 1107773, 1107781, 1107787, 1107791, 1107793 } and 1107751 + 12 = 1107763, 110763 + 10 = 1107773, 1107773 + 8 = 1107781, 1107781 + 6 = 1107787, 1107787 + 4 = 1107791, 1107791 + 2 = 1107793.

Prog

(GAP)
P:=Filtered([1..100000000], IsPrime);; I:=Reversed([2, 4, 6, 8, 10, 12]);;
P1:=List([1..Length(P)-1], i->P[i+1]-P[i]);;
P2:=List([1..Length(P)-Length(I)], i->[P1[i], P1[i+1], P1[i+2], P1[i+3], P1[i+4], P1[i+5]]);;
P3:=List(Positions(P2, I), i->P[i]);

Crossrefs

Cf. A078847, A190814, A190817, A190819, A190838, A286891, A290162.

Sequence in context: A166001 A253374 A204229 * A244308 A273971 A259305

Adjacent sequences: A290158 A290159 A290160 * A290162 A290163 A290164

Keyword

nonn

Author

Muniru A Asiru, Jul 22 2017

Status

approved