OFFSET
1,1
COMMENTS
Is this sequence infinite?
FORMULA
a(n) = primePi(A016045(n)).
EXAMPLE
a(8) = 6496152 because prime(6496152) = 113575727 and 113575727, 113575729, 113575733, 113575739, 113575747, 113575757, 113575769, 113575783, and 113575799 are nine consecutive primes with differences respectively 2, 4, 6, 8, 10, 12, 14, 16.
MATHEMATICA
a[n_] := (For[m=1, !Sum[(d[m+k-1]-2k)^2, {k, n}]==0, m++ ]; m); Do[Print[a[n]], {n, 8}]
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Farideh Firoozbakht, Dec 11 2003
EXTENSIONS
Extended and edited by T. D. Noe, May 23 2011
a(11)-a(14) from Amiram Eldar, Sep 06 2024
STATUS
approved