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A356405 as a simple table

na(n)
12
23
35
47
517
619
723
8257
9263
10277
1165537
1265539
1365543
1465557
1565809
164294967569
174295032837
184295033107
19340282366920938463463374607431768211729
20340282366920938463463374607431768277267
21340282366920938463463374607436063179013
22340282366920938463481821351505477763347

[2,3,5,7,17,19,23,257,263,277,65537,65539,65543,
 65557,65809,4294967569,4295032837,4295033107,
 340282366920938463463374607431768211729,
 340282366920938463463374607431768277267,
 340282366920938463463374607436063179013,
 340282366920938463481821351505477763347]