A178884 a(n) = number of 9-digit primes with digit sum n, where n runs through the non-multiples of 3 in the range [2..80].

0, 2, 26, 226, 372, 1457, 3312, 9159, 13320, 32077, 50752, 102027, 138554, 249053, 331920, 535444, 655423, 966278, 1152057, 1546854, 1751100, 2168566, 2374001, 2719026, 2850784, 3029814, 3063907, 3019100, 2943918, 2691740, 2519884, 2134422, 1930862, 1511648, 1303187, 935353, 783315, 514221, 402227, 238252, 182466, 97415, 66012, 30140, 21162, 8438, 4350, 1311, 906, 170, 65, 3, 1

Offset

1,2

Links

Table of n, a(n) for n=1..53.

BigPrimes.net, Digit sums of primes

Example

Digit-sums of 9-digit primes
Sum     count
2       0
4       2
5       26
7       226
8       372
10      1457
11      3312
13      9159
14      13320
16      32077
17      50752
19      102027
20      138554
22      249053
23      331920
25      535444
26      655423
28      966278
29      1152057
31      1546854
32      1751100
34      2168566
...

Crossrefs

For 2- through 9-digit primes the counts are in A177868, A178183, A178447, A178571, A178605, A178876, A178879, A178884.

Sequence in context: A072415 A197468 A184354 * A211319 A121768 A280556

Adjacent sequences: A178881 A178882 A178883 * A178885 A178886 A178887

Keyword

nonn,base,fini,full

Author

N. J. A. Sloane, Dec 28 2010

Status

approved