A257141
Numbers n such that n, n+2, n+12, n+14, n+18, n+20, n+24, n+30, n+32, n+38, n+42, n+44 and n+48 are all prime.
Original entry on oeis.org
10527733922579, 15991086371740199, 22443709342850669, 69759046409087909, 94415460183744419, 164873121596539229, 197053322268438509, 212971209388223159, 215768926871613989, 248170682800139819, 270109976153617319, 326374793491266239, 341896216415143109, 341987213500572359, 362035072661912369, 401062754451879239, 441180406661470349, 450928996714672349, 503035098004929209, 533306698691196149
Offset: 1
Initial members of all of the first prime k-tuplets:
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isok(n)={isp=isprime;isp(n) &&isp(n+2)&&isp(n+12) &&isp(n+14) &&isp(n+18)&&isp(n+20)&&isp(n+24) &&isp(n+30) &&isp(n+32) &&isp(n+38) &&isp(n+42)&&isp(n+44)&&isp(n+48)} \\ Anders Hellström, Sep 05 2015
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use ntheory ":all"; say for sieve_prime_cluster(1, 10**15, 2,12,14,18,20,24,30,32,38,42,44,48); # Dana Jacobsen, Oct 13 2015
A257166
Initial members of prime 14-tuplets.
Original entry on oeis.org
11, 21817283854511261, 79287805466244209, 841262446570150721, 1006587882969594041, 2682372491413700201, 2714623996387988519, 5009128141636113611, 5012524663381750349, 6120794469172998449, 6195991854028811669, 6232932509314786109, 6808488664768715759, 7126352574372296381, 7993822923596334941, 10756418345074847279, 11319107721272355839
Offset: 1
Initial members of all of the first prime k-tuplets:
A257167
Numbers n such that n, n+2, n+6, n+8, n+12, n+18, n+20, n+26, n+30, n+32, n+36, n+42, n+48 and n+50 are all prime.
Original entry on oeis.org
11, 21817283854511261, 841262446570150721, 1006587882969594041, 2682372491413700201, 5009128141636113611, 7126352574372296381, 7993822923596334941, 12870536149631655611, 15762479629138737611, 22811391659969177381, 25593071201116914611, 25908823282383706781, 42408988436795325461, 44360646117391789301, 54533311498517797061, 54872625531142644341, 55603189618237916771, 60815831883653681951
Offset: 1
- Dana Jacobsen, Table of n, a(n) for n = 1..185 [first 57 terms computed by Betsis, Säfholm, Forbes, Hadley, Vlesycit, and Waldvogel (1982-2009)]
- Tony Forbes and Norman Luhn, Smallest Prime k-tuplets
- Norman Luhn, Table of n, a(n) for n = 1..919
Initial members of all of the first prime k-tuplets:
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use ntheory ":all"; say for sieve_prime_cluster(1, 10**17, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50); # Dana Jacobsen, Oct 18 2015
A257168
Numbers n such that n, n+2, n+8, n+14, n+18, n+20, n+24, n+30, n+32, n+38, n+42, n+44, n+48 and n+50 are all prime.
Original entry on oeis.org
79287805466244209, 2714623996387988519, 5012524663381750349, 6120794469172998449, 6195991854028811669, 6232932509314786109, 6808488664768715759, 10756418345074847279, 11319107721272355839, 12635619305675250719, 14028155447337025829, 14094050870111867489, 14603617704434643719, 14777669568340323479, 15420967329931107779, 16222575536498135639, 16624441191356313149, 17367037621075657349, 19289576760019250519
Offset: 1
Initial members of all of the first prime k-tuplets:
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use bigint; use ntheory ":all"; say for sieve_prime_cluster(1, 10**17, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50); # Dana Jacobsen, Oct 18 2015
A257169
Initial members of prime 15-tuplets.
Original entry on oeis.org
11, 17, 1158722981124148367, 1240068005144831867, 2243290806352501637, 3172206835341609797, 8402171449067476007, 9422138120166964847, 14094050870111867483, 16222575536498135633, 16485850001899818467, 16679857156627718057, 17905159760365247387, 26082001869529405727, 27367669288651556693, 28025081332808782877, 30304192466683200797, 34827058725936837287, 36351118555624575707, 44333554877816671757
Offset: 1
Initial members of all of the first prime k-tuplets:
A257304
Numbers n such that n, n+2, n+6, n+8, n+12, n+18, n+20, n+26, n+30, n+32, n+36, n+42, n+48, n+50 and n+56 are all prime.
Original entry on oeis.org
11, 44360646117391789301, 80846604473064395081, 85542881495337691541, 113615698477681825541, 116591588863353569081, 140245881111654813611, 204185491710368653601, 227209370616659726411, 238931301405879137171, 441927344360107210721, 457968514558418508761
Offset: 1
Initial members of all of the first prime k-tuplets:
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use ntheory ":all"; say for sieve_prime_cluster(1,10**16, 2,6,8,12,18,20,26,30,32,36,42,48,50,56); # Dana Jacobsen, Oct 18 2015
A257305
Numbers n such that n, n+2, n+6, n+12, n+14, n+20, n+24, n+26, n+30, n+36, n+42, n+44, n+50, n+54 and n+56 are all prime.
Original entry on oeis.org
17, 17905159760365247387, 44333554877816671757, 64777971223063936127, 84528323459951417987, 90798766993022298227, 151477098804870766217, 190685406656969508497, 191219032841144805437, 232425130317773743367, 269337329665351844837, 274875260256537447797
Offset: 1
Initial members of all of the first prime k-tuplets:
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use ntheory ":all"; say for sieve_prime_cluster(1, 10**16, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56); # Dana Jacobsen, Oct 24 2015
A257306
Numbers n such that n, n+2, n+6, n+12, n+14, n+20, n+26, n+30, n+32, n+36, n+42, n+44, n+50, n+54 and n+56 are all prime.
Original entry on oeis.org
1158722981124148367, 1240068005144831867, 2243290806352501637, 3172206835341609797, 8402171449067476007, 9422138120166964847, 16485850001899818467, 16679857156627718057, 26082001869529405727, 28025081332808782877, 30304192466683200797, 34827058725936837287, 36351118555624575707, 44715422969365380887, 45912500276798107607, 47710850533373130107, 47939384425506704057, 48902741158702754327
Offset: 1
Initial members of all of the first prime k-tuplets:
A257307
Numbers n such that n, n+6, n+8, n+14, n+20, n+24, n+26, n+30, n+36, n+38, n+44, n+48, n+50, n+54 and n+56 are all prime.
Original entry on oeis.org
14094050870111867483, 16222575536498135633, 27367669288651556693, 47972909762951107763, 49198349218890756713, 83522578855892290943, 141851207652098108993, 166270537650069307283, 195690251815182929633, 334275099381872183363, 347599197380365425323
Offset: 1
Initial members of all of the first prime k-tuplets:
A257308
Initial members of prime 16-tuplets.
Original entry on oeis.org
13, 47710850533373130107, 347709450746519734877, 695874886175252911063, 1099638576123052218257, 1169914227530138703617, 1522014304823128379267, 1567582627835236839763, 1620784518619319025977, 1750052554011927712483, 2257588388550898970503, 2639154464612254121537, 3259125690557440336637, 3789227751026345304613, 4654682384109074514133, 5022156579757255625623, 9042634271485192050677, 9239395687646993061197, 13599236099159166553033
Offset: 1
Initial members of all of the first prime k-tuplets: