A354442 The primes sums formed for each completed 3 X 3 square of numbers in A354441.

47, 61, 79, 71, 103, 89, 127, 107, 127, 167, 127, 139, 193, 167, 173, 191, 239, 193, 197, 223, 307, 257, 257, 251, 263, 331, 281, 271, 277, 307, 379, 337, 347, 359, 349, 353, 431, 379, 379, 397, 409, 439, 499, 449, 439, 463, 457, 461, 479, 569, 499, 491, 509, 521, 523, 557, 643, 557, 563, 599, 613

Offset

1,1

Comments

See A354441 for further details.

In the first one million terms the most frequently occurring prime sum is 8986531, which occurs twenty-eight times. It is unknown if the maximum number of times a prime sum can occur is finite or unbounded.

Links

Table of n, a(n) for n=1..61.

Scott R. Shannon, Image of the first 1000 terms. The green line is y = n.

Example

The first prime sum is 47, which is the sum of the innermost nine values 1,2,3,4,5,6,7,8,11 which form the 3 X 3 square centered at (0,0) in the square spiral shown in A354441.
The second prime sum is 61, which is the sum of the nine values 1,2,3,4,8,9,10,11,13 which form the 3 X 3 square centered at (1,0) in the square spiral shown in A354441.

Crossrefs

Cf. A354441, A337116, A257339, A354434, A000040.

Sequence in context: A243430 A342093 A126980 * A354461 A039355 A043178

Adjacent sequences: A354439 A354440 A354441 * A354443 A354444 A354445

Keyword

nonn

Author

Scott R. Shannon, May 29 2022

Status

approved