Sierp base 3 reservations/statuses/primes - Page 19

rogue · 2010-05-14, 01:43

Quote:

Originally Posted by gd_barnes

Even better news:

I just ran PFGW 3.3.4 against 195 composite PRPs that I had previously found for k<22M for Sierp base 63 using PFGW 3.3.2. As verified by other software, it correctly reported back 132 primes and 63 composites. All composites were n<5. All primes were n>=14; some as high as n=~190.

New testing in the k=22M-30M range is coming back with only composite PRPs for n<5. Testing with other software confirmed that they are all composite; consistent with all composites for n<5 for k<22M.

Gary, please post or send me the ones that were in error in 3.3.4. I'll look into them. I might just force -a1 on primality tests when n is really small. It should have a negligible affect on primality testing. I'll decide once I see the list.

gd_barnes · 2010-05-14, 04:39

Quote:

Originally Posted by rogue

Gary, please post or send me the ones that were in error in 3.3.4. I'll look into them. I might just force -a1 on primality tests when n is really small. It should have a negligible affect on primality testing. I'll decide once I see the list.

What errors? No skimming of postings please. Please reread the entire post #192 again. Would I have said "nice work" in the next-to-last para. if there were still errors? :-)

rogue · 2010-05-14, 13:00

Quote:

Originally Posted by gd_barnes

What errors? No skimming of postings please. Please reread the entire post #192 again. Would I have said "nice work" in the next-to-last para. if there were still errors? :-)

I clearly misunderstood what you wrote. To me, there were a couple of possible interpretations (because of how the message was worded). Now that I'm taking more time to understand what you wrote in my own way.

Let me know of this interpretation is correct:

You have a list of 195 numbers. 132 are prime and 63 are composite (proven with other software). A PRP test with PFGW 3.3.2 output all 195 of those numbers as PRP. A primality test with PFGW 3.3.2 indicated that all 195 were composite. A PRP test with PFGW 3.3.4 returned correct results for all 195 numbers (132 PRP, 63 composite). A primality test with PFGW 3.3.4 also returned correct results for all 195 numbers (132 prime, 63 composite).

The 63 composites all had n<5 while the 132 primes had n>=5.

If I didn't understand this correctly, let me know.

gd_barnes · 2010-05-14, 17:58

Quote:

Originally Posted by rogue

I clearly misunderstood what you wrote. To me, there were a couple of possible interpretations (because of how the message was worded). Now that I'm taking more time to understand what you wrote in my own way.

Let me know of this interpretation is correct:

You have a list of 195 numbers. 132 are prime and 63 are composite (proven with other software). A PRP test with PFGW 3.3.2 output all 195 of those numbers as PRP. A primality test with PFGW 3.3.2 indicated that all 195 were composite. A PRP test with PFGW 3.3.4 returned correct results for all 195 numbers (132 PRP, 63 composite). A primality test with PFGW 3.3.4 also returned correct results for all 195 numbers (132 prime, 63 composite).

The 63 composites all had n<5 while the 132 primes had n>=5.

If I didn't understand this correctly, let me know.

That is correct.

MyDogBuster · 2010-05-18, 17:30

Sierp Base 3 - Range 340M-350M
Conjectured k = 125050976086
Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757

Trivial Factors k == 1 mod 2(2)

Found Primes: 3,587,987k's - File emailed

Remaining: 45k's - File emailed - Tested to n=25K

MOB Eliminations: 1,411,968k's - File emailed

Range Released

Reserving Range 350M-400M

MyDogBuster · 2010-05-27, 18:59

Sierp Base 3 Range 350M-360M
Conjectured k = 125,050,976,086
Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757]

Trivial Factors k == 1 mod 2(2)

Found Primes: 3,587,083k's - File emailed

Remaining: 44k's - File emailed - Tested to n=25K

MOB Eliminations: 1,412,873k's - File emailed

Range Released

MyDogBuster · 2010-06-05, 16:20

Sierp Base 3 Range 360M-370M
Conjectured k = 125,050,976,086
Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757]

Trivial Factors k == 1 mod 2(2)

Found Primes: 3,586,770k's - File emailed

Remaining: 52k's - File emailed - Tested to n=25K

MOB Eliminations: 1,413,178k's - File emailed

Range Released

MyDogBuster · 2010-06-14, 00:40

Sierp Base 3 Range 370M-380M
Conjectured k = 125,050,976,086
Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757]

Trivial Factors k == 1 mod 2(2)

Found Primes: 3,586,956k's - File emailed

Remaining: 47k's - File emailed - Tested to n=25K

MOB Eliminations: 1,412,997k's - File emailed

Range Released

MyDogBuster · 2010-06-22, 22:14

Sierp Base 3 Range 380M-390M
Conjectured k = 125,050,976,086
Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757]

Trivial Factors k == 1 mod 2(2)

Found Primes: 3,586,4103k's - File emailed

Remaining: 50k's - File emailed - Tested to n=25K

MOB Eliminations: 1,413,540k's - File emailed

Range Released

MyDogBuster · 2010-06-29, 09:09

Sierp Base 3 Range 390M-400M
Conjectured k = 125,050,976,086
Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757]

Trivial Factors k == 1 mod 2(2)

Found Primes: 3,585,687k's - File emailed

Remaining: 43k's - File emailed - Tested to n=25K

MOB Eliminations: 1,414,270k's - File emailed

Range Released

Reserving 400M-450M

MyDogBuster · 2010-07-06, 23:22

Sierp Base 3 Range 400M-410M
Conjectured k = 125,050,976,086
Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757]

Trivial Factors k == 1 mod 2(2)

Found Primes: 3,585,703k's - File emailed

Remaining: 49k's - File emailed - Tested to n=25K

MOB Eliminations: 1,414,248k's - File emailed

Range Released

2010-05-18, 17:30	#203
MyDogBuster May 2008 Wilmington, DE 101100100100₂ Posts	Sierp 3 Sierp Base 3 - Range 340M-350M Conjectured k = 125050976086 Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757 Trivial Factors k == 1 mod 2(2) Found Primes: 3,587,987k's - File emailed Remaining: 45k's - File emailed - Tested to n=25K MOB Eliminations: 1,411,968k's - File emailed Range Released Reserving Range 350M-400M

2010-06-29, 09:09	#208
MyDogBuster May 2008 Wilmington, DE 101100100100₂ Posts	Sierp 3 Sierp Base 3 Range 390M-400M Conjectured k = 125,050,976,086 Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757] Trivial Factors k == 1 mod 2(2) Found Primes: 3,585,687k's - File emailed Remaining: 43k's - File emailed - Tested to n=25K MOB Eliminations: 1,414,270k's - File emailed Range Released Reserving 400M-450M

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2010-05-27, 18:59	#204
MyDogBuster May 2008 Wilmington, DE 2852₁₀ Posts	Sierp Base 3 Range 350M-360M Conjectured k = 125,050,976,086 Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757] Trivial Factors k == 1 mod 2(2) Found Primes: 3,587,083k's - File emailed Remaining: 44k's - File emailed - Tested to n=25K MOB Eliminations: 1,412,873k's - File emailed Range Released

2010-06-05, 16:20	#205
MyDogBuster May 2008 Wilmington, DE 2852₁₀ Posts	Sierp Base 3 Range 360M-370M Conjectured k = 125,050,976,086 Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757] Trivial Factors k == 1 mod 2(2) Found Primes: 3,586,770k's - File emailed Remaining: 52k's - File emailed - Tested to n=25K MOB Eliminations: 1,413,178k's - File emailed Range Released

2010-06-14, 00:40	#206
MyDogBuster May 2008 Wilmington, DE B24₁₆ Posts	Sierp Base 3 Range 370M-380M Conjectured k = 125,050,976,086 Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757] Trivial Factors k == 1 mod 2(2) Found Primes: 3,586,956k's - File emailed Remaining: 47k's - File emailed - Tested to n=25K MOB Eliminations: 1,412,997k's - File emailed Range Released

2010-06-22, 22:14	#207
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Sierp Base 3 Range 380M-390M Conjectured k = 125,050,976,086 Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757] Trivial Factors k == 1 mod 2(2) Found Primes: 3,586,4103k's - File emailed Remaining: 50k's - File emailed - Tested to n=25K MOB Eliminations: 1,413,540k's - File emailed Range Released

2010-07-06, 23:22	#209
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Sierp Base 3 Range 400M-410M Conjectured k = 125,050,976,086 Covering Set = 5, 7, 13, 17, 19, 37, 41, 193, 757] Trivial Factors k == 1 mod 2(2) Found Primes: 3,585,703k's - File emailed Remaining: 49k's - File emailed - Tested to n=25K MOB Eliminations: 1,414,248k's - File emailed Range Released