10196...94387 (162-digits)

This number is a probable-prime (likely to be a prime but we have not (re-)proven it on this site).

                                                    10 1968674518 1387262299
3745253351 6592081841 9060459517 1415042159 9411578155 7387067758 2331088589
0384264797 6704735296 2744352753 8823519138 7903761100 2019053156 5798894387

The largest prime of the form 2# + 3# + 5# + ... + n# - 1 is for n = 379. The others are for n = 3, 5, 11, 13, 17, 19, 31, 43, 73, 179, 181, 191 and 373. Because the expression is divisible by 463 for n = 461, more primes are not possible. Curiously, SOD for n = 397 is 739. [Petrov]