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

Author

E.J.P. Vening, Aug 03 2005

Keywords

• nonn
• base
• less

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.

Examples

			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
...
		

Links

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

Programs

Mathematica

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

Formula

a(n) ~ n log n.