A272303 Magic sums of 4 X 4 semimagic squares composed of primes.

114, 120, 124, 126, 130, 132, 136, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 172, 174, 176, 178, 180, 182, 184, 186, 188, 190, 192, 194, 196, 198, 200, 202, 204, 206, 208, 210, 212, 214, 216, 218, 220, 222, 224, 226

Offset: 1

Author

Arkadiusz Wesolowski, Apr 25 2016

Keywords

• nonn

Comments

In other words, numbers n such that there is a 4 X 4 semimagic square of primes with magic sum n.

Conjecture: every even number greater than 134 belongs to this sequence.

Examples

			Examples of 4 X 4 semimagic squares composed of primes.
.
|---|---|---|---|
| 3 | 11| 47| 53|
|---|---|---|---|
| 23| 37| 41| 13|
|---|---|---|---|
| 29| 61| 7 | 17|
|---|---|---|---|
| 59| 5 | 19| 31|
|---|---|---|---|
The magic constant is 114 = a(1).
.
|---|---|---|---|
| 3 | 5 | 23| 89|
|---|---|---|---|
| 17| 53| 37| 13|
|---|---|---|---|
| 41| 43| 29| 7 |
|---|---|---|---|
| 59| 19| 31| 11|
|---|---|---|---|
The magic constant is 120 = a(2).
		

Links

• Arkadiusz Wesolowski, Table of n, a(n) for n = 1..189
• Index entries for sequences related to magic squares

Crossrefs

Cf. A270864. Supersequence of A271578.

Formula

If conjecture is true, a(n) = A005843(n+61) for n >= 7.