Sierp base 16 - team drive #1 - Page 13

gd_barnes · 2008-05-08, 22:48

It can't quite match Rogue's outstanding discovery but I just found a nice prime of my own after just 118 tests on Sierp base 16 on the n=126K-130K range. Here it is:

19725*16^126275+1 is prime!

submitted as 19725*2^505100+1

Edit: k=19725 has now been removed from all posted sieved files.

Gary

gd_barnes · 2008-05-09, 20:17

reserving n=130K-132K

gd_barnes · 2008-05-18, 06:53

Sierp base 16 continues to knock out primes while Riesel base 16 can't BUY one!

32350*16^128411+1 is prime!

submitted to top-5000 as:
16175*2^513645+1

Gary

gd_barnes · 2008-05-18, 23:46

The very nice range of n=126K-130K is complete. 2 primes already reported.

n=130K-132K should be complete in the next couple of days.

gd_barnes · 2008-05-20, 04:42

n=130K-132K complete; no primes

gd_barnes · 2008-05-29, 21:26

reserving n=132K-140K (4 files)

gd_barnes · 2008-06-17, 07:34

My range is at n=134K; no primes...continuing.

gd_barnes · 2008-06-26, 05:54

66505*16^134956+1 is prime!

reported as:
66505*2^539824+1

It's good to get rid of the largest k-value remaining.

It's odd that the last 5 consecutive and 6 of the last 7 k-values eliminated for Sierp base 16 have been divisible by 5.

gd_barnes · 2008-06-26, 21:47

My range is now at n=138K. Completion should be in 2-3 days.

gd_barnes · 2008-06-27, 19:17

Sierp 16 strikes again!

58855*16^138074+1 is prime

reported as:
58855*2^552296+1

That's now 6 consecutive and 7 out of 8 k-values that are divisible by 5 that have had primes found on them for this base.

There is now only a difference of 3 k-values remaining between Riesel and Sierp base 16 after having searched them to nearly the same depth despite the fact that Sierp has about twice the conjecture. Go figure!

This seems to be the only base that I can find a prime on.

Gary

gd_barnes · 2008-06-29, 18:54

Since no other effort that I'm on has found a prime in a long time, I'll take this what is now a huge run of primes for Sierp base 16...3 primes in <2900 tests for n>528K base 2:

47482*16^138980+1 is prime!

submitted as:
23741*2^555921+1

It finally stops the streak of k-values divisible by 5 with primes.

Gary

2008-05-08, 22:48	#133
gd_barnes May 2007 Kansas; USA 28A3₁₆ Posts	It can't quite match Rogue's outstanding discovery but I just found a nice prime of my own after just 118 tests on Sierp base 16 on the n=126K-130K range. Here it is: 1972516^126275+1 is prime! submitted as 197252^505100+1 Edit: k=19725 has now been removed from all posted sieved files. Gary Last fiddled with by gd_barnes on 2008-05-09 at 01:01

2008-06-26, 05:54	#140
gd_barnes May 2007 Kansas; USA 10100010100011₂ Posts	6650516^134956+1 is prime! reported as: 665052^539824+1 It's good to get rid of the largest k-value remaining. It's odd that the last 5 consecutive and 6 of the last 7 k-values eliminated for Sierp base 16 have been divisible by 5. Last fiddled with by gd_barnes on 2008-06-26 at 06:02

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2008-05-09, 20:17	#134
gd_barnes May 2007 Kansas; USA 24243₈ Posts	reserving n=130K-132K

2008-05-18, 06:53	#135
gd_barnes May 2007 Kansas; USA 101·103 Posts	Sierp base 16 continues to knock out primes while Riesel base 16 can't BUY one! 3235016^128411+1 is prime! submitted to top-5000 as: 161752^513645+1 Gary

2008-05-18, 23:46	#136
gd_barnes May 2007 Kansas; USA 101×103 Posts	The very nice range of n=126K-130K is complete. 2 primes already reported. n=130K-132K should be complete in the next couple of days.

2008-05-20, 04:42	#137
gd_barnes May 2007 Kansas; USA 101×103 Posts	n=130K-132K complete; no primes

2008-05-29, 21:26	#138
gd_barnes May 2007 Kansas; USA 101·103 Posts	reserving n=132K-140K (4 files)

2008-06-17, 07:34	#139
gd_barnes May 2007 Kansas; USA 10100010100011₂ Posts	My range is at n=134K; no primes...continuing.

2008-06-26, 21:47	#141
gd_barnes May 2007 Kansas; USA 101·103 Posts	My range is now at n=138K. Completion should be in 2-3 days.

2008-06-27, 19:17	#142
gd_barnes May 2007 Kansas; USA 24243₈ Posts	Sierp 16 strikes again! 5885516^138074+1 is prime reported as: 588552^552296+1 That's now 6 consecutive and 7 out of 8 k-values that are divisible by 5 that have had primes found on them for this base. There is now only a difference of 3 k-values remaining between Riesel and Sierp base 16 after having searched them to nearly the same depth despite the fact that Sierp has about twice the conjecture. Go figure! This seems to be the only base that I can find a prime on. Gary

2008-06-29, 18:54	#143
gd_barnes May 2007 Kansas; USA 101·103 Posts	Since no other effort that I'm on has found a prime in a long time, I'll take this what is now a huge run of primes for Sierp base 16...3 primes in <2900 tests for n>528K base 2: 4748216^138980+1 is prime! submitted as: 237412^555921+1 It finally stops the streak of k-values divisible by 5 with primes. Gary