A109635 Sum of prime(n) and n-th digit of Pi after the decimal point.

3, 7, 6, 12, 20, 15, 23, 24, 26, 34, 39, 46, 48, 52, 50, 55, 62, 69, 71, 77, 75, 85, 87, 92, 100, 109, 106, 109, 116, 122, 132, 131, 139, 147, 157, 155, 158, 172, 174, 174, 185, 190, 194, 202, 206, 202, 218, 228, 228, 229, 238, 247, 243, 251, 266, 270, 273, 280

Offset

1,1

Comments

In some cases n resembles the prime number in the subsequent prime row. Some slight intervals can be observed: for example 599(593+6) to 641(641+0) to 691(683+8) to 743(743+0) to 809(811+2), each 8 rows apart and 3 instances 10 rows apart.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..1000

Formula

a(n) ~ n log n.

Example

The first column gives the primes, the second column the digits of Pi and the third column their sum.
2 1 3
3 4 7
5 1 6
7 5 12
...

Mathematica

Total/@With[{nn=60}, Thread[{Prime[Range[nn]], Rest[RealDigits[Pi, 10, nn+1][[1]]]}]] (* Harvey P. Dale, Apr 25 2020 *)

Crossrefs

Sequence in context: A178242 A352168 A070882 * A095360 A175142 A318466

Adjacent sequences: A109632 A109633 A109634 * A109636 A109637 A109638

Keyword

nonn,base,less

Author

E.J.P. Vening, Aug 03 2005

Status

approved