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

%I A272303 #7 Apr 29 2016 23:39:18
%S A272303 114,120,124,126,130,132,136,138,140,142,144,146,148,150,152,154,156,
%T A272303 158,160,162,164,166,168,170,172,174,176,178,180,182,184,186,188,190,
%U A272303 192,194,196,198,200,202,204,206,208,210,212,214,216,218,220,222,224,226
%N A272303 Magic sums of 4 X 4 semimagic squares composed of primes.
%C A272303 In other words, numbers n such that there is a 4 X 4 semimagic square of primes with magic sum n.
%C A272303 Conjecture: every even number greater than 134 belongs to this sequence.
%H A272303 Arkadiusz Wesolowski, <a href="/A272303/b272303.txt">Table of n, a(n) for n = 1..189</a>
%H A272303 <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>
%F A272303 If conjecture is true, a(n) = A005843(n+61) for n >= 7.
%e A272303 Examples of 4 X 4 semimagic squares composed of primes.
%e A272303 .
%e A272303 |---|---|---|---|
%e A272303 | 3 | 11| 47| 53|
%e A272303 |---|---|---|---|
%e A272303 | 23| 37| 41| 13|
%e A272303 |---|---|---|---|
%e A272303 | 29| 61| 7 | 17|
%e A272303 |---|---|---|---|
%e A272303 | 59| 5 | 19| 31|
%e A272303 |---|---|---|---|
%e A272303 The magic constant is 114 = a(1).
%e A272303 .
%e A272303 |---|---|---|---|
%e A272303 | 3 | 5 | 23| 89|
%e A272303 |---|---|---|---|
%e A272303 | 17| 53| 37| 13|
%e A272303 |---|---|---|---|
%e A272303 | 41| 43| 29| 7 |
%e A272303 |---|---|---|---|
%e A272303 | 59| 19| 31| 11|
%e A272303 |---|---|---|---|
%e A272303 The magic constant is 120 = a(2).
%Y A272303 Cf. A270864. Supersequence of A271578.
%K A272303 nonn
%O A272303 1,1
%A A272303 _Arkadiusz Wesolowski_, Apr 25 2016