48495*2^n+1

Alex · 2023-04-10, 01:29

Hello.
I decided to contribute to the 48495*2^n+1 (Max n was reported only up to 1,000)
NASH = 3088

Code:

21 known primes confirmed:

48495*2^11+1
48495*2^13+1
48495*2^29+1
48495*2^40+1
48495*2^43+1
48495*2^49+1
48495*2^50+1
48495*2^70+1
48495*2^73+1
48495*2^82+1
48495*2^106+1
48495*2^125+1
48495*2^163+1
48495*2^251+1
48495*2^269+1
48495*2^349+1
48495*2^401+1
48495*2^479+1
48495*2^527+1
48495*2^614+1
48495*2^920+1

19 new primes found:

48495*2^1180+1 is prime! (360 decimal digits)  Time : 62.799 ms.
48495*2^2105+1 is prime! (639 decimal digits)  Time : 69.388 ms.
48495*2^2789+1 is prime! (845 decimal digits)  Time : 76.039 ms.
48495*2^3263+1 is prime! (987 decimal digits)  Time : 70.538 ms.
48495*2^3581+1 is prime! (1083 decimal digits)  Time : 59.388 ms.
48495*2^4690+1 is prime! (1417 decimal digits)  Time : 89.752 ms.
48495*2^6503+1 is prime! (1963 decimal digits)  Time : 146.031 ms.
48495*2^8470+1 is prime! (2555 decimal digits)  Time : 256.660 ms.
48495*2^10582+1 is prime! (3191 decimal digits)  Time : 361.733 ms.
48495*2^12361+1 is prime! (3726 decimal digits)  Time : 432.702 ms.
48495*2^14690+1 is prime! (4427 decimal digits)  Time : 875.543 ms.
48495*2^16702+1 is prime! (5033 decimal digits)  Time : 913.083 ms.
48495*2^20102+1 is prime! (6056 decimal digits)  Time : 1.088 sec.
48495*2^23341+1 is prime! (7032 decimal digits)  Time : 1.609 sec.
48495*2^28379+1 is prime! (8548 decimal digits)  Time : 3.241 sec.
48495*2^44686+1 is prime! (13457 decimal digits)  Time : 6.654 sec.
48495*2^81371+1 is prime! (24500 decimal digits)  Time : 20.218 sec.
48495*2^81443+1 is prime! (24522 decimal digits)  Time : 20.284 sec.
48495*2^87370+1 is prime! (26306 decimal digits)  Time : 25.594 sec.

Passed n = [1..50.000] (9760 tests).

Alex · 2023-08-11, 21:30

Hello.

11.08.2023: Range 200.000 ≤ n ≤ 700.000 completed:

Code:

10 new primes found:

48495*2^105287+1 is prime! (31700 decimal digits)  Time : 30.791 sec.
48495*2^109625+1 is prime! (33006 decimal digits)  Time : 58.636 sec.
48495*2^112484+1 is prime! (33866 decimal digits)  Time : 57.826 sec.
48495*2^113482+1 is prime! (34167 decimal digits)  Time : 58.448 sec.
48495*2^115156+1 is prime! (34671 decimal digits)  Time : 59.057 sec.
48495*2^137894+1 is prime! (41515 decimal digits)  Time : 70.801 sec.
48495*2^138056+1 is prime! (41564 decimal digits)  Time : 70.851 sec.
48495*2^142984+1 is prime! (43048 decimal digits)  Time : 73.451 sec.
48495*2^189373+1 is prime! (57012 decimal digits)  Time : 115.294 sec.
48495*2^569842+1 is prime! (171545 decimal digits)  Time : 1207.660 sec.

Alex · 2023-09-21, 12:39

Hello.

19.09.2023: Range 700.000 ≤ n ≤ 800.000 completed: no new primes.

Code:

1 new prime found in collaboration with my teammate Tatyana Petrova:

48495*2^805655+1 is prime! (242532 decimal digits)  Time : 2257.144 sec.