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A272303
Magic sums of 4 X 4 semimagic squares composed of primes.
1
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.
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
KEYWORD
nonn
AUTHOR
STATUS
approved