A268913 Magic sums of 3 X 3 semimagic squares composed of primes.

53, 59, 61, 65, 67, 71, 73, 77, 79, 83, 85, 89, 91, 95, 97, 99, 101, 103, 107, 109, 113, 115, 117, 119, 121, 123, 125, 127, 129, 131, 133, 135, 137, 139, 141, 143, 145, 147, 149, 151, 153, 155, 157, 159, 161, 163, 165, 167, 169, 171

Offset: 1

Author

Arkadiusz Wesolowski, Feb 15 2016

Keywords

• nonn

Comments

This sequence is infinite because the Green-Tao theorem implies that sequence A268790 is infinite.

I conjecture that every odd number greater than 111 belongs to this sequence.

Examples

			Examples of 3 X 3 semimagic squares composed of primes.
.
|---|---|---|
| 3 | 13| 37|
|---|---|---|
| 31| 17| 5 |
|---|---|---|
| 19| 23| 11|
|---|---|---|
The magic constant is 53 = a(1).
.
|---|---|---|
| 3 | 13| 43|
|---|---|---|
| 37| 17| 5 |
|---|---|---|
| 19| 29| 11|
|---|---|---|
The magic constant is 59 = a(2).
		

Links

• Index entries for sequences related to magic squares

Crossrefs

Cf. A268912. Supersequence of A268790.