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May 30, 2004

BRAVO Daniel !
Daniel Heuer discovered the two largest known Generalized Fermat primes:
1372930131072 + 1 (804,474 digits)
and
1176694131072+ 1 (795,695 digits).

n N Number
of primes
found
Expected
new
primes
Tested
ranges
Reserved
ranges
Free
gaps
15 32768 50 3 2-2800000

2800000-3000000 (DHr)
3000000-3100000 (JS)

none
16 65536 22 1

2-192000
250000-253000
255000-260000
270000-275000
280000-313000
315000-344000
349000-690000
695000-875000
900000-961000
991000-1050000
1100000-1125000
1184000-1350000
1435872-1800000
1850000-1860000

192000-250000 (HR)
253000-255000 (ATH)
260000-270000 (JA)
275000-280000 (MU)
313000-315000 (VM)
344000-345000 (PZ)
345000-349000 (JH)
690000-695000 (LZ)
875000-880000 (JiF)
880000-881000 (JaF)
881000-900000 (MC)
961000-991000 (SS)
1050000-1100000 (JM)
1125000-1180000 (DU)
1180000-1184000 (LM)
1350000-1435872 (AP)
1800000-1850000 (DH)

none

17 131072 4 5 2-31000
38000-41000
46000-56000
60000-101000
110000-113000
114000-117000
118000-120000
123000-124000
125000-151000
153000-154000
155000-161000
530000-550000
555000-565000
567000-577000
600000-610000
1000000-1010000
1145000-1167000

31000-32000 (PS)
32000-33000 (CC)
33000-38000 (ML)
41000-46000 (DA)
56000-57000 (PN)
57000-58000 (MH)
58000-60000 (KlB)
101000-110000 (AP)
113000-114000 (DA)
117000-118000 (JD)
120000-121000 (FH)
121000-123000 (AI)
124000-125000 (AG)
151000-152000 (PA)
152000-153000 (FH)
154000-155000 (PC)
161000-170000 (REL)
170000-180000 (RC)
180000-182000 (SM)
182000-184000 (HM)
184000-186000 (FH)
186000-187000 (Ma)
250000-350000 (JS)
550000-555000 (YG)
565000-567000 (YG)
577000-585000 (YG)
610000-625000 (MT)
625000-626000 (JR)
626000-631000 (MT)
631000-635000 (DHr)
635000-635500 (PW)
635500-660000 (MA)
660000-661000 (MM)
900000-902000 (AS)
1010000-1020000 (TW)
1167000-1400000 (DHr)

187000-250000
350000-530000
585000-600000
661000-900000
902000-1000000
1010000-1145000

Download
pre-sieved
ranges!

18 262144 0 4 2-300
1200-1400
3000-3500
4400-4500
5000-5500
7000-7500
8500-8700
589472-589708

300-1000 (Ecl)
1000-1200 (EM)
1400-3000 (PT)
3500-4000 (RS)
4000-4200 (Al)
4200-4400 (JH)
4500-5000 (JD)
5500-6000 (ED)
7500-8000 (FI)
8000-8500 (MM)
8700-20000 (YG)
20000-21000 (PF)

6000-7000
21000-589470
589710-947322

Download
pre-sieved
ranges!

19 524288 0 2 2-200
502-700
202-300 (JPH)
302-400 (SH)
402-500 (EM)
702-800 (JH)
802-900 (TG)
902-1000 (APa)
1002-1100 (SL)
1202-1250 (MR)
1250-1350 (MM)
1102-1200
1352-769464
20 1048576 0 1 2-50
102-300
602-700
52-100 (AA)
302-600 (DH)
702-800 (MP)
802-900 (ML)
902-1000 (BR)
1002-1100 (DR)
2002-2100 (DP)
2102-2200 (MP)
1102-2000
2202-625000
21 2097152 0 0.32 2-8 10-110 (JMR)
112-200 (JH)
60000-60100 (HZ)
450000-450100 (AN)
450102-451000 (PN)

202-59998
60102-449998
451002-500000