A098661 a(n) = sum[i=1,n](i-th prime of Erdős-Selfridge classification i+). Cumulative sums of A101253.

2, 21, 134, 751, 2628, 11381, 63898, 318941, 1851114, 11138635, 59638094, 413291157, 2550007678, 20721795665, 132517178106

Offset

1,1

Comments

The cumulative sums of the diagonalization of the set of sequences {j-th prime of Erdős-Selfridge classification k+}. The diagonalization itself is in A101253. a(1) = 2 and a(4) = 751 are primes. a(2) = 21 = 3 * 7, a(3) = 134 = 2 * 67; and a(6) = 11381 = 19 * 599 are semiprime. There are only 2 distinct digits in the greatest factor of a(10) = 11138635 = 5 * 2227727. The cumulative sums of the diagonalization of the related set of sequences {j-th prime of Erdős-Selfridge classification k-} is A101254. That n- diagonalization itself is in A101231.

Links

Table of n, a(n) for n=1..15.

Example

a(11) = 59638094 = 2 * 29 * 1028243 = 2+19+113+617+1877+8753+52517+255043+1532173+9287521+48499459

Crossrefs

Cf. A101253, A101254, A101231.

Sequence in context: A109789 A136588 A171009 * A095262 A209519 A377859

Adjacent sequences: A098658 A098659 A098660 * A098662 A098663 A098664

Keyword

nonn

Author

Jonathan Vos Post, Dec 19 2004

Extensions

More terms from David Wasserman, Mar 26 2008

Status

approved