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Primes of the form k# + (k+1)#,..,+(k+x)#+ 61; where k#,(k+1)#,(k+x)# are primorials numbers, members of A002110.
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%I #2 Sep 24 2013 09:24:39

%S 67,97,307,2617,32647,543157,10242847,233335717,6703028947,

%T 7628001653887,311878265181097,565918396036931688582304087,

%U 24039065352401162580869899907532787

%N Primes of the form k# + (k+1)#,..,+(k+x)#+ 61; where k#,(k+1)#,(k+x)# are primorials numbers, members of A002110.

%F Prime(a)=A002110(n)+A002110(n+1)+...A002110(n+x) +61

%e 67 = A002110(3) + 61 = 6 + 61; 97 = A002110(3) + A002110(4) + 61 = 6 + 30 + 61; 307 = A002110(3) + A002110(4) + A002110(5) + 61 = 6 + 30 + 210 + 61; 2617 = A002110(3) + A002110(4) + A002110(5) + A002110(6) + 61 = 6 + 30 + 210 + 2310 + 61; 32647 = A002110(3) + A002110(4) + A002110(5) + A002110(6) + A002110(7) + 61 = 6 + 30 + 210 + 2310 + 30030 + 61;...

%Y Cf. A125191; A002110.

%K nonn

%O 1,1

%A _Tomas Xordan_, Apr 03 2007