k=55951335 Update
 

Here is an update on my k:

n=161510 is prime

k=2029
 

Justin [Justinsane] found that 2029*2^n-1 is prime for following n:

13497, 18509, 26801, 28217, 38443, 48329, 88321, 119765, 154597, 307763

He's testing ahead both k=2039 and k=165. No limits reported.

[QUOTE=grobie;119031]Here is an update on my k:

n=161510 is prime[/QUOTE]

Here is an update on my update lol:

n=161586 is prime
n=162023 is prime

k=105330225 "(92 primes 0-50k)" resolved
 

prime for n=1, 4, 7, 9, 17, 21, 33, 38, 40, 44, 45, 48, 52, 68, 89, 117, 118, 128, 160, 175, 184, 206, 241, 250, 368, 385, 417, 418, 426, 448, 512, 537, 727, 839, 1007, 1034, 1039, 1055, 1060, 1121, 1161, 1294, 1301, 1307, 1372, 1894, 2145, 2310, 2318, 2402, 2693, 2711, 3046, 3056, 3070, 3282, 3382, 3404, 3538, 3907, 3984, 4800, 5469, 5646, 5910, 5915, 6801, 8052, 8657, 8968, 9014, 9049, 9338, 10129, 11485, 11784, 12373, 15454, 16289, 18635, 19711, 19879, 20161, 21928, 23871, 25033, 26312, 27369, 28761, 34226, 34713, 39784, 53392, 55141, 78128, 97041, 99448 (100k) (97 primes)
twin for n=4 and 52; 3 Sophie Germain

Nov. month-end status
 

[SIZE=2]Here is my status for Nov. month-end for k's > 300 for record here. It [/SIZE][SIZE=2]is what was on my web page as of yesterday. It's easier for me to show all of the primes in the range tested so that is what I'm doing.[/SIZE]

[quote]
[SIZE=2]k=2145:[/SIZE]
[SIZE=2]range tested: 200K-435K[/SIZE]
[SIZE=2]primes 213621*, 214257*, 214994*, 323459, 345415, 372766, [/SIZE][SIZE=2]414996, 425089, 430852 (!!)[/SIZE]

[SIZE=2]k=19437, 102765, 3545685, 111546435, 115029915, 120023475, 290499495, 686701125, 775784295, 968911515, 1019370495, and 3428677395:[/SIZE]
[SIZE=2]ranges tested: 200K-266.3K and 328K-368.4K[/SIZE]
[SIZE=2]primes k / n:[/SIZE]
19437: 211357* (...) 331364, 364045
[SIZE=2]102765: (...) 333354[/SIZE]
[SIZE=2]3545685: (...) 349477[/SIZE]
[SIZE=2]111546435: 209565*, 210761*, 257139*, (...) 328183* [other primes found by others][/SIZE]
[SIZE=2]115029915: (...) 334568*, 337129*[/SIZE]
[SIZE=2]120023475: 254906 (...) 334084, 359311[/SIZE]
[SIZE=2]290499495: 224928, 257434[/SIZE]
[SIZE=2]686701125: 225149, 238938 (...) 355908, 366708[/SIZE]
[SIZE=2]775784295: 206406, 222937, 227488, 234206, 245390 (...) 334420, 340381, 341106[/SIZE]
[SIZE=2]968911515: 207877, 213176, 214518, 226971, 244245[/SIZE]
[SIZE=2]1019370495: 210362, 225325, 249834[/SIZE]
3428677395: 203702 (...) 357369
[/quote]

* - confirmed prime(s) previously found by others

[SIZE=2]The following ranges searched are exceptions to the above that include ranges that have been previously searched by others:[/SIZE]

[SIZE=2]k=111546435: -368.4K (all ranges tested)[/SIZE]
[SIZE=2]k=115029915: -266.3K, 269.2K-385K[/SIZE]


[SIZE=2]Gary[/SIZE]

k=1062034545
 

resolving "(95 primes 0-50k)":
prime for n: 6, 11, 13, 14, 23, 24, 27, 29, 36, 42, 46, 56, 57, 66, 73, 74, 76, 79, 84, 121, 143, 149, 157, 162, 182, 190, 193, 194, 211, 235, 260, 287, 308, 315, 360, 435, 448, 466, 507, 597, 650, 714, 760, 767, 797, 976, 1037, 1071, 1136, 1199, 1360, 1541, 1599, 2209, 2219, 2333, 2555, 2558, 3021, 3071, 3397, 3531, 3797, 3851, 4008, 4122, 4134, 4738, 5023, 5570, 5826, 6495, 6552, 7228, 7398, 7695, 8563, 10026, 10346, 10440, 12427, 13423, 13731, 14786, 17411, 18469, 18544, 20313, 20651, 23147, 27670, 28002, 29211, 32124, 38567, 53587, 59135, 67280, 78877.

5 Sophie Germain, 3 twins at n=46, 57 and 190.

99 primes upto n=100k.

PS: perhaps there're others to help out resolving such expressions in the summary pages (many of them!).

Karsten

k=1425
 

I am working on k = 1425 from n = 100,000 and from n = 334,000.

1425*2^125100-1 is prime.

1169473305
 

resolving "(95 primes 0-50k)":
1, 2, 8, 9, 14, 28, 33, 34, 39, 41, 43, 48, 80, 85, 89, 99, 104, 108, 111, 112, 123, 134, 153, 174, 181, 183, 190, 207, 211, 290, 306, 318, 323, 327, 342, 377, 398, 440, 586, 590, 617, 640, 653, 691, 797, 946, 970, 1150, 1163, 1377, 1710, 1733, 1776, 2045, 2103, 2187, 2349, 2502, 2626, 2674, 2735, 2896, 3099, 3298, 3346, 3490, 3566, 4122, 4129, 4437, 4640, 4894, 5347, 5430, 5551, 5566, 5726, 6614, 8847, 10222, 12609, 12846, 13328, 16913, 17766, 20266, 22411, 23341, 27391, 30827, 31913, 33597, 35056, 45605, 49439

95 primes for n=0 to 50k
4 Sophie Germain, one twin at n=112

k=1194281385
 

resolving "(98 primes 0-50k)":
prime n's: 1, 7, 8, 14, 16, 27, 30, 34, 42, 45, 63, 85, 87, 99, 119, 121, 133, 146, 176, 231, 237, 278, 279, 287, 303, 308, 387, 400, 435, 474, 475, 512, 522, 525, 638, 868, 873, 915, 1148, 1330, 1360, 1395, 1463, 1533, 1682, 1689, 1741, 1756, 1774, 1811, 1856, 1944, 2295, 2415, 2494, 2787, 2828, 2871, 2894, 3118, 3139, 3258, 3330, 3827, 3910, 4185, 4309, 5296, 5390, 5738, 7105, 7675, 8098, 10458, 10753, 12440, 12553, 13399, 14241, 15465, 16651, 18664, 19250, 19362, 19749, 20939, 21275, 23480, 29519, 32649, 36056, 37725, 42896, 44644, 45022, 45319, 48013, 49442.

98 primes upto 50k.
3 twins at n=27, 63 and 308 and also 3 Sophie Germain pairs.

k=1310150985: "(97 primes 0-50k)" resolved
 

prime n: 2, 8, 15, 16, 22, 27, 32, 37, 39, 40, 45, 48, 51, 61, 63, 68, 77, 79, 81, 93, 95, 96, 98, 103, 115, 119, 147, 189, 205, 209, 212, 215, 236, 261, 302, 313, 328, 346, 440, 467, 539, 593, 599, 634, 740, 776, 799, 805, 817, 875, 1003, 1068, 1136, 1508, 1523, 1795, 1922, 2445, 2724, 3028, 3136, 3974, 4054, 4952, 5068, 5210, 5452, 5506, 7585, 7901, 7938, 10093, 10448, 10638, 11922, 12164, 12413, 12706, 13456, 14087, 14778, 15944, 17467, 21336, 21972, 22896, 23117, 27792, 28939, 29069, 34050, 36934, 39943, 43514, 45207, 48472, 49890.
97 primes upto 50k.
3 Sophie Germain and also 3 twins at n=39, 45 and 77.

[quote=Flatlander;119972]I am working on k = 1425 from n = 100,000 and from n = 334,000.

1425*2^125100-1 is prime.[/quote]

k = 1425 tested to 200,000.

1425*2^135516-1 is prime.