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

1,1

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.

Links

Table of n, a(n) for n=1..50.

Index entries for sequences related to magic squares

Example

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).

Crossrefs

Cf. A268912. Supersequence of A268790.

Sequence in context: A095529 A095519 A095509 * A166385 A112418 A059497

Adjacent sequences: A268910 A268911 A268912 * A268914 A268915 A268916

Keyword

nonn

Author

Arkadiusz Wesolowski, Feb 15 2016

Status

approved