Problems & Puzzles: Puzzles

Puzzle 1083 A046883

The OEIS sequence A046883 is related to these "Automorphic primes: primes p such that p is k-th prime and p ends in k."

Thanks to the latest work of Chai Wha Wu, there are now 15 terms known (he found the last three terms)

17, 99551, 4303027, 6440999, 14968819, 95517973, 527737957, 1893230839, 1246492090901, 12426836115943, 21732382677641, 154895576080181, 2677628540590583, 133475456543097857, 820396537622790811

Examples:

p(7)=17, p(9551)=99551, p(303027)=4303027,

p(440999)=6440999, p(968819)=14968819,
p(5517973)=95517973.

In A067248 see the k values.

Q. Send your new terms.


From 16-22 April, contributions came from Oscar Volpatti.

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Oscar wrote:

I found two more terms of sequence A046883:
a(16) = 23540145178774772939
a(16) = p(540145178774772939)
a(17) = 39904678560078237431
a(17) = p(904678560078237431) 
Next term a(18) is greater than 10^20.

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