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Old 2011-07-10, 18:21   #89
gd_barnes
 
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Default 5200 thru 5299 complete

5200 thru 5299 is complete. It went to the multiply side for 5256 & 5272.

Primes:
Code:
p(5200)#/p(910)+1
p(5201)#/p(12)-1
p(5202)#/p(169)-1
p(5203)#/p(1044)-1
p(5204)#/p(1403)+1
p(5205)#/p(765)-1
p(5206)#/p(1411)-1
p(5207)#/p(49)+1
p(5208)#/p(1535)+1
p(5209)#/p(449)-1
p(5210)#/p(1257)+1
p(5211)#/p(997)+1
p(5212)#/p(2184)-1
p(5213)#/p(972)-1
p(5214)#/p(577)-1
p(5215)#/p(976)-1
p(5216)#/p(2697)-1
p(5217)#/p(665)+1
p(5218)#/p(934)-1
p(5219)#/p(378)-1
p(5220)#/p(256)+1
p(5221)#/p(3145)-1
p(5222)#/p(388)-1
p(5223)#/p(1567)-1
p(5224)#/p(815)-1
p(5225)#/p(3707)-1
p(5226)#/p(3434)-1
p(5227)#/p(524)+1
p(5228)#/p(1443)+1
p(5229)#/p(1139)-1
p(5230)#/p(360)-1
p(5231)#/p(4343)+1
p(5232)#/p(2330)-1
p(5233)#/p(435)+1
p(5234)#/p(1810)+1
p(5235)#/p(126)+1
p(5236)#/p(173)-1
p(5237)#/p(14)+1
p(5238)#/p(258)-1
p(5239)#/p(2854)+1
p(5240)#/p(403)+1
p(5241)#/p(241)-1
p(5242)#/p(2115)-1
p(5243)#/p(524)-1
p(5244)#/p(2729)+1
p(5245)#/p(2439)-1
p(5246)#/p(1739)-1
p(5247)#/p(2568)+1
p(5248)#/p(39)+1
p(5249)#/p(1346)+1
p(5250)#/p(2272)-1
p(5251)#/p(50)-1
p(5252)#/p(795)+1
p(5253)#/p(991)+1
p(5254)#/p(664)-1
p(5255)#/p(1778)+1
p(5256)#*p(626)+1
p(5257)#/p(2264)+1
p(5258)#/p(160)-1
p(5259)#/p(67)-1
p(5260)#/p(2184)+1
p(5261)#/p(1205)-1
p(5262)#/p(2697)+1
p(5263)#/p(1021)-1
p(5264)#/p(941)-1
p(5265)#/p(2723)+1
p(5266)#/p(1774)-1
p(5267)#/p(223)+1
p(5268)#/p(658)-1
p(5269)#/p(2535)+1
p(5270)#/p(347)+1
p(5271)#/p(208)+1
p(5272)#*p(1907)+1
p(5273)#/p(321)-1
p(5274)#/p(488)-1
p(5275)#/p(87)-1
p(5276)#/p(335)+1
p(5277)#/p(256)+1
p(5278)#/p(1180)+1
p(5279)#/p(1696)+1
p(5280)#/p(475)-1
p(5281)#/p(1857)+1
p(5282)#/p(53)+1
p(5283)#/p(1895)+1
p(5284)#/p(2812)-1
p(5285)#/p(2220)-1
p(5286)#/p(1232)-1
p(5287)#/p(2191)+1
p(5288)#/p(1001)+1
p(5289)#/p(47)+1
p(5290)#/p(2489)-1
p(5291)#/p(531)-1
p(5292)#/p(837)+1
p(5293)#/p(1267)+1
p(5294)#/p(835)-1
p(5295)#/p(44)+1
p(5296)#/p(1523)+1
p(5297)#/p(1297)+1
p(5298)#/p(442)+1
p(5299)#/p(2728)-1
All primes are proven.

Last fiddled with by gd_barnes on 2011-07-10 at 18:23
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Old 2011-07-15, 17:02   #90
Harvey563
 
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11·17 Posts
Default 5100 thru 5199 complete, reserving 5300 thru 5399

5100 thru 5199 complete, reserving 5300 thru 5399

went to * for 5114, 5150, 5192, 5195


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Old 2011-08-24, 22:43   #91
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Cool 5300 thru 5399 complete, reserving 5400 thru 5499

5300 thru 5399 complete, reserving 5400 thru 5499

went to * for 5347 & 5364.



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Old 2011-09-25, 17:53   #92
Harvey563
 
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11·17 Posts
Wink SOLUTION!

Hi,

I am writing to report that a counterexample has been found to the conjecture in Puzzle ten of the Prime Puzzles and Problems Connection,
http://www.primepuzzles.net/puzzle/puzz_010.htm
http://www.primepuzzles.net/puzzle/puzz_010.htm

The prime 53819, the 5843rd prime, is composite for all values of the equations:
p(5483)#/p(k)-1
p(5483)#/p(k)+1
p(5483)#*p(k)-1
p(5483)#*p(k)+1. where k is < or = 5483.
5483 is the smallest such value.

Mark Rodenkirch contributed cycles, custom sieves, and pfgw scripts, and deserves much of the credit. Other contributors include Anderson/Robinson(p21), Gary Barnes,Peter Benson(p67), D. Heuer(p16), T. Rajala, H. Rosenthal(p10); T. Sorbara, and Stephano D'Urso.

Details at http://harvey563.tripod.com/puzzle10.html
http://harvey563.tripod.com/puzzle10.html

Steven Harvey

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Old 2011-09-25, 18:19   #93
rogue
 
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Apr 2003
Between here and the

23×5×7×23 Posts
Default

Don't forget Robert Gerbicz with his sieving idea. That reduced the PRPing time significantly.

Note that in post 74 of this thread that you suggested sieving from p(5000) to p(6000) (instead of p(10000)). Although that never happened, the solution was found before p(6000).
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Old 2011-09-25, 20:51   #94
Harvey563
 
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11·17 Posts
Default sieving

I did just sieve to 6000, and I lucked out.

Thanks to RG for the sieving idea!

Steven
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Old 2011-09-26, 13:58   #95
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Default

Quote:
Originally Posted by Harvey563 View Post
The correct link is: http://www.primepuzzles.net/puzzles/puzz_010.htm
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Old 2011-09-28, 08:03   #96
gd_barnes
 
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Default

Congrats Steven! The testing was growing increasingly lengthy so it's nice to see the conjecture finally disproven.
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Old 2011-09-30, 20:17   #97
Harvey563
 
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Default double check residues re p(5483)

here's part one.
Attached Files
File Type: zip 5483dc1.zip (187.0 KB, 276 views)
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Old 2011-09-30, 20:19   #98
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BB16 Posts
Default double check residues, part 2

& here's part 2.
Attached Files
File Type: zip 5483dc2.zip (196.3 KB, 257 views)
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