Problems & Puzzles: Problems

Problem 60.  Symmetric primes on each side.

Natalia Makarova share with us a puzzle posted by her here as a distributed computing project:

Find Smallest number such that there are n symmetric (in the gap sense) primes on each side. A055381

Current record (Feb. 10, 2015) is 633925574060895 for which n=22:

4, 9, 12, 30, 30, 165, 8021811, 1071065190, 1613902650, 1797595815015, 633925574060895

Q. Perhaps you would like to contribute more terms to A055381?


On July 13, 2015, Natalia Makarova wrote:

A colleague in my project found a new solution for n = 24:

22930603692243271: 0 70 76 118 136 156 160 178 202 222 238 250 378 390 406 426 450 468 472 492 510 552 558 628


See
http://dxdy.ru/post1035456.html#p1035456

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On Jan 6, 2024, Natalia Makarva wrote:

Two 26-tuples were found in the BOINC SPT project, possibly not minimal
 
5179852391836338871: 0 12 18 28 46 76 78 120 186 210 226 232 238 300 306 312 328 352 418 460 462 492 510 520 526 538
7331618973503379271: 0 22 30 36 40 52 58 72 120 160 190 192 220 348 376 378 408 448 496 510 516 528 532 538 546 568
 
Everyone can take part in the search for a minimum 26-tuple in the competition

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