"P1174253"

This prime's information:

Description: (from blob table id=443)

This Prime is obtained by iteration of the following PARI/GP code: k = [1, 1, 1, 2, 5, 9, 6, 79, 16, 219, 580, 387, 189, 7067, 1803, 6582, 31917, 18888, 20973, 132755, 11419, 50111]; q = 2; for(i=1, #k, q = k[i] * (q - 1) * q + 1); print("n",q,"n"); Every Prime in these iterations (including the P587124) are verified to be prime via PFGW using " - tc" flag and then added to the helper file to prove the primality of the next iteration. Every prime q in these iterations can be proven via N - 1 method since all the prime factors of q - 1 are known. Please note that the PARI/GP console will run out of display buffer when "printing" the 1174253 decimal digits of this prime. You can use the "write" command to output the complete decimal integer to a file.

User comments about this prime (disclaimer):

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Jeppe Stig Nielsen writes (14 May 2023):  (report abuse)

See the User comment for the previous term in this sequence, P587124. Also see OEIS A339174.

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.