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A290161
Initial primes of 7 consecutive primes with 6 consecutive gaps 12, 10, 8, 6, 4, 2.
4
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.
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]);
KEYWORD
nonn
AUTHOR
Muniru A Asiru, Jul 22 2017
STATUS
approved