Oct. month-end status
 

Here is my status for Oct. month-end before Karsten does the final update for the 15k.org pages from off of my web pages:

For k=2145, 16995, 26565, and 49335; ranges and primes:

[quote]
n=200K to 283.1K complete; primes found and confirmed:

k / n
2145: 213621*, 214257*, 214994*
16995: 241068*, 256435*, 277111*, 282003*
26565: 217001*, 264851*, 277766*
49335: 242161*, 259572

n=333.3K to 386.9K complete; 3 primes found shown in 'lots of primes' thread
[/quote]

k=19437, 102765, 3545685, 111546435, 115029915, 120023475, 290499495, 686701125, 775784295, 96891151, 1019370495, and 3428677395; ranges and primes:

[quote]
n=200K to 250.9K complete; primes found and confirmed:
k / n
19437: 211357*
111546435: 209565*, 210761*
290499495: 224928
686701125: 225149, 238938
775784295: 206406, 222937, 227488, 234206, 245390
968911515: 207877, 213176, 214518, 226971, 244245
1019370495: 210362, 225325, 249834
3428677395: 203702

n=333.3K to 356.9K complete; 7 primes found shown in 'lots of primes' thread. Confirmed 2 previously found primes:
k / n
115029915: 334568*, 337129*
[/quote]

* - confirmed prime previously found by others

Karsten, the following ranges searched are exceptions to the above that include ranges that have been previously searched by others in the format that you shown them on your pages:

k=16995...290k, 333.3k-386.9k
k=26565...306k, 333.3k-386.9k
k=111546435...328k, 333.3k-356.9k
k=115029915...250.9k, 269.2k-385k


Gary

primes for k=2722420456827 to n=25K
 

To fill in the gap below my 2nd large quad find, here are the primes and twins for k=2722420456827 up to n=25K:

[quote]
primes: 10, 38, 101, 140, 178, 209, 278, 289, 440, 478, 520, 1402, 1928, 2828, 3520, 3800, 6902, 8593, 9280, 10412, 14200, 20797

twin, triplet, & quad: 3800

[/quote]

There was no prime for n<10. The only twin, triplet, and quad was n=3800.

Total of 22 primes. The Nash weight is 1844.


Gary

k=413468055
 

filled gap of k=413468055:
24095*, 26233, 37282, 47060, 48860, 53510, 60109, 77645, 79666, 83390, 87261, 103482, 104344, 129623*
*=confirmed
this makes 104 primes upto n=155k. no twins.

k=55951335
 

k=55951335 currently at n=149967, if you could please update with following primes:

n=100226
n=149447

[LEFT][FONT=Verdana][SIZE=2]3333333*2^358515-1 is prime (107931 digits)
[/SIZE][/FONT]
[FONT=Verdana][/FONT][/LEFT]
[LEFT][FONT=Verdana][SIZE=2]3333333*2^n-1 is also prime for n = [/SIZE][/FONT] [FONT=Verdana][SIZE=2]3, 16, 28, 30, 35, 43, 55, 58, 75, 83, 99, 120, 138, 143, 146, 148, 231, 246, 295, 336, 355, 363, 490, 526, 939, 954, 1275, 2398, 2611, 3271, 3338, 4455, 5616, 5690, 8971, 15751, 27670, 32679, 54923, 63291, 67908, 131343, 137766, 142091, 151975, 166504, 194963, 244451, 254738, 269539
[/SIZE][/FONT][/LEFT]

congrats to your first Top5000-prime, adam!

Thanks. And thanks to everyone for the welcome to RPS.

milestone report for k=736320585
 

k=736320585 tested till n=800000, I'm still working on it :flex:

[LEFT][FONT=Verdana][SIZE=2]n at 203,000[/SIZE][/FONT]
[FONT=Verdana][/FONT]
[FONT=Verdana][SIZE=2]3015015*2^n-1 is prime for
[/SIZE][/FONT]
[FONT=Verdana][/FONT][/LEFT]
[LEFT][FONT=Verdana][SIZE=2]n = 1, 5, 6, 7, 13, 14, 15, 19, 41, 43, 53, 64, 103, 106, 126, 158, 174, 223, 239, 263, 266, 343, 581, 604, 610, 886, 1010, 1111, 1735, 1743, 2510, 2618, 2841, 3371, 3804, 5006, 5691, 5819, 6341, 7621, 8593, 8595, 11966, 13968, 18601, 19354, 24717, 35145, 42910, 46481, 51106, 51438, 52278, 52536, 67459, 68441, 71124, 78671, 131093, 137916, 142080, 155631
[/SIZE][/FONT][/LEFT]
[LEFT][FONT=Verdana][SIZE=2]Twins[/SIZE][/FONT][/LEFT]
[LEFT][FONT=Verdana][SIZE=2]3015015*2^5-1 = 96480479 is prime! (trial divisions)
3015015*2^5+1 = 96480481 is prime! (trial divisions)[/SIZE][/FONT][/LEFT]

Smaller high-weight k effort complete
 

I have completed my smaller high-weight k effort. This is the one for k=2145, 16995, 26565, and 49335 from n=200K-400K. Here is a synopsis of all primes found and confirmed from the effort including previously reported primes:

[quote]
k / n
2145: 213621*, 214257*, 214994*, 323459, 345415, 372766
16995: 241068*, 256435*, 277111*, 282003*, 331071, 364274
26565: 217001*, 264851*, 277766*, 289274*, 306088*, 393136
49335: 242161*, 259572
[/quote]

* - confirmed prime previously found by others

There were no primes above n=259572 for k=49335.

Curtis had previously provided me with a sieved file for k=2145 for n=280K-600K. That has now been started at n=400K on 2 cores.

As usual, my larger high-weight k effort for 12 k's will be reported at the end of the month.


Gary

Un-reserving k's
 

I should have stated this in this last post: I am unreserving k's=16995, 26565, and 49335. They are now fully tested with no gaps up to n=400K.

I am still keeping the reservation for k=2145 and testing it up to n=600K.


G