A271578 Magic sums of 4 X 4 magic squares composed of primes.

120, 126, 132, 136, 138, 140, 142, 144, 146, 148, 150, 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, 228, 230, 232, 234

Offset

1,1

Comments

I conjecture that every even number greater than 152 belongs to this sequence.

Links

Table of n, a(n) for n=1..52.

Wikipedia, Magic square

Index entries for sequences related to magic squares

Formula

If conjecture is true, a(n) = A005843(n+65) for n >= 12.

Example

Examples of 4 X 4 magic squares composed of primes.
.
|---|---|---|---|
| 3 | 7 | 43| 67|
|---|---|---|---|
| 31| 61| 17| 11|
|---|---|---|---|
| 73| 23| 19| 5 |
|---|---|---|---|
| 13| 29| 41| 37|
|---|---|---|---|
The magic constant is 120 = a(1).
.
|---|---|---|---|
| 3 | 7 | 43| 73|
|---|---|---|---|
| 31| 67| 17| 11|
|---|---|---|---|
| 79| 23| 19| 5 |
|---|---|---|---|
| 13| 29| 47| 37|
|---|---|---|---|
The magic constant is 126 = a(2).

Crossrefs

Cf. A000040, A164843, A268790.

Sequence in context: A117645 A157425 A030501 * A297152 A074302 A095631

Adjacent sequences: A271575 A271576 A271577 * A271579 A271580 A271581

Keyword

nonn

Author

Arkadiusz Wesolowski, Apr 10 2016

Status

approved