A173095 Partial sums of A108810.

10153331, 20326464, 30559685, 40871218, 51193539, 63296870, 75460003, 87623334, 99816467, 112128400, 124441719, 139544852, 154778073, 170089706, 185421637, 200754756, 216907889, 233061220, 249234353, 265565884, 281897715

Offset

1,1

Comments

Partial sums of self-describing primes, where the digits are described in any order, whereas in A047841 they must be described in increasing order. The subsequence of prime partial sums of self-describing primes begins: 10153331, 75460003. What is the smallest value in the subsubsequence of self-describing prime partial sums of self-describing primes?

Links

Table of n, a(n) for n=1..21.

Jud McCranie, Prime Curios, Self-describing primes.

Formula

a(n) = SUM[i=1..n] A108810(i).

Example

a(7) = 10153331 + 10173133 + 10233221 + 10311533 + 10322321 + 12103331 + 12163133 = 75460003 is prime. a(21) = 10153331 + 10173133 + 10233221 + 10311533 + 10322321 + 12103331 + 12163133 + 12163331 + 12193133 + 12311933 + 12313319 + 15103133 + 15233221 + 15311633 + 15331931 + 15333119 + 16153133 + 16153331 + 16173133 + 16331531 + 16331831.

Crossrefs

Cf. A000040, A047841, A059504, A108810, A109775, A109776.

Sequence in context: A155514 A133595 A108810 * A244076 A234404 A034635

Adjacent sequences: A173092 A173093 A173094 * A173096 A173097 A173098

Keyword

base,nonn

Author

Jonathan Vos Post, Feb 09 2010

Status

approved