A352707 Array read by ascending antidiagonals T(n,k) = abs(prime(n)-nonprime(k)).

1, 2, 2, 4, 1, 4, 6, 1, 3, 6, 10, 3, 1, 5, 7, 12, 7, 1, 3, 6, 8, 16, 9, 5, 1, 4, 7, 10, 18, 13, 7, 3, 2, 5, 9, 12, 22, 15, 11, 5, 2, 3, 7, 11, 13, 28, 19, 13, 9, 4, 1, 5, 9, 12, 14, 30, 25, 17, 11, 8, 3, 1, 7, 10, 13, 16, 36, 27, 23, 15, 10, 7, 1, 3, 8, 11, 15, 18

Offset

1,2

Links

Table of n, a(n) for n=1..78.

Formula

T(n,1) = A006093(n).

Example

First few rows of array:
   1  2  4 6 7 8 10
   2  1  3 5 6 7  9
   4  1  1 3 4 5  7
   6  3  1 1 2 3  5
  10  7  5 3 2 1  1
  12  9  7 5 4 3  1
  16 13 11 9 8 7  5

Prog

(PARI) nonprime(n) = my(a=1, b=n); while(a!=b, a=b; b=n+primepi(a)); b; \\ A018252
T(n, k) = abs(prime(n)-nonprime(k));

Crossrefs

Cf. A000040 (primes), A018252 (nonprimes), A006093.

Sequence in context: A023137 A327488 A065273 * A140819 A138558 A111580

Adjacent sequences: A352704 A352705 A352706 * A352708 A352709 A352710

Keyword

nonn,tabl

Author

Michel Marcus, Apr 19 2022

Status

approved