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

1,1

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.

Links

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..189

Index entries for sequences related to magic squares

Formula

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

Example

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).

Crossrefs

Cf. A270864. Supersequence of A271578.

Sequence in context: A076150 A294309 A138693 * A260213 A228961 A057440

Adjacent sequences: A272300 A272301 A272302 * A272304 A272305 A272306

Keyword

nonn

Author

Arkadiusz Wesolowski, Apr 25 2016

Status

approved