Known Proth Primes for 1200 < k < 10000 and n > 2300000 (as of September 15, 2025) 5359*2^5054502+1 1521561 SB6 2003 1365*2^4768348+1 1435419 L6264 2025 1425*2^4700603+1 1415026 L6264 2025 1425*2^4618342+1 1390263 L1134 2024 1425*2^4469783+1 1345542 L1134 2023 1485*2^4416137+1 1329393 L1134 2024 1455*2^4376470+1 1317452 L1134 2023 1365*2^3872811+1 1165836 L1134 2023 1981*2^3754984+1 1130367 A24 2025 1365*2^3605491+1 1085365 L1134 2022 1485*2^3574333+1 1075985 L1134 2022 1485*2^3490746+1 1050823 L1134 2021 3322000 < n < 3486000 in a separate file: 613 primes 4847*2^3321063+1 999744 SB9 2005 3125*2^3124079+1 940445 L1160 2019 3125*2^2867399+1 863177 L1754 2019 2187*2^2786802+1 838915 L1745 2019 1323*2^2764024+1 832058 L1115 2019 3125*2^2697651+1 812078 L3924 2019 1365*2^2372586+1 714223 L1134 2016 3375*2^2314297+1 696677 L1745 2019 3267*2^2305266+1 693958 L1204 2019 21 primes 9981*2^2308957+1 not at T5K 695070 2025 2685*2^2308882+1 not at T5K 695047 2025 5321*2^2308643+1 694975 L5517 2025 Divides GF(2308641,5) 2319*2^2308506+1 not at T5K 694933 2025 2963*2^2308489+1 not at T5K 694928 2025 6747*2^2308060+1 not at T5K 694800 2025 4431*2^2307655+1 not at T5K 694678 2025 1601*2^2307397+1 not at T5K 694599 2025 9321*2^2307197+1 not at T5K 694540 2025 5173*2^2307170+1 not at T5K 694532 2025 2457*2^2307059+1 not at T5K 694498 2025 2729*2^2306999+1 not at T5K 694480 2025 2541*2^2306916+1 not at T5K 694455 2025 2247*2^2306754+1 not at T5K 694406 2025 7211*2^2306639+1 not at T5K 694372 2025 9627*2^2306558+1 not at T5K 694348 2025 7551*2^2306308+1 not at T5K 694272 2025 2125*2^2306260+1 not at T5K 694257 2025 9837*2^2306154+1 not at T5K 694226 2025 9063*2^2305672+1 not at T5K 694081 2025 6211*2^2304972+1 not at T5K 693870 2025 7733*2^2304565+1 not at T5K 693748 2025 9599*2^2303981+1 not at T5K 693572 2025 9269*2^2303599+1 not at T5K 693457 2025 8901*2^2303259+1 not at T5K 693354 2025 6591*2^2303055+1 not at T5K 693293 2025 2659*2^2302814+1 not at T5K 693220 2025 6413*2^2302649+1 not at T5K 693171 2025 1561*2^2302184+1 not at T5K 693030 2025 2427*2^2301924+1 not at T5K 692952 2025 3873*2^2301850+1 not at T5K 692930 2025 3879*2^2301817+1 not at T5K 692920 2025 9159*2^2301213+1 not at T5K 692739 2025 1599*2^2301195+1 not at T5K 692732 2025 7915*2^2301034+1 not at T5K 692685 2025 7813*2^2300262+1 not at T5K 692452 2025 8165*2^2300001+1 not at T5K 692374 2025 37 primes -------------------------------------------------------