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

Author

Muniru A Asiru, Jul 22 2017

Keywords

• nonn

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.

Examples

			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.
		

Links

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

Crossrefs

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

Programs

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]);