Any number listed in the tables below
(1) has passed a PRP-3 test with the program Prime95 of George Woltman and
(2) is reported as "Fermat and Lucas PRP" by the program pfgw of Chris Nash and Jim Fougeron.
Any probable prime number is uploaded to and accepted by
(1) the database of Henri and Renaud Lifschitz and
(2) the Online Encyclopedia of Integer Sequences (founded in 1964 by N. J. A. Sloane).
Probable Primes
Number
Digits
Date
10^1043372+7
1043373
Dec-21-2021
10^995256+7
995257
Nov-14-2021
10^487291+7
487292
Jun-8-2021
10^371696+7
371697
May-19-2021
10^350071+7
350072
May-19-2021
10^221628+7
221629
Apr-29-2021
Remarks
My first assertion is that in the range 200001 ≤ n ≤ 1000000 none others than the listed five numbers are (probable) prime.
Any data necessary for an easy "proof" of this assertion are collected in the file (11.2MB).
The second assertion is that in the range 1000001 ≤ n ≤ 1075000 none other than the listed 10^1043372+7 is (probable) prime.
The data in the second file (1.1MB) "prove" this assertion.