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
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
KEYWORD
nonn
AUTHOR
Arkadiusz Wesolowski, Apr 25 2016
STATUS
approved