User:Bill McEachen/OEIS prime sets

(testing)

}

(Mar 2014)

prime breadth/spread

(starting from CRG's great list)

Name	breadth/spread	OEIS
Asymmetric primes	1000 entries thru 751823,uniform	A090191

Name	breadth/spread	OEIS
Asymmetric primes	1000 entries thru 751823,uniform	A090191
Balanced primes	10K entries thru 4093451,uniform	A006562
Bell primes	6 entries thru 359334085968622831041960188598043661065388726959079837, skewed	A051131
Bertrand primes	1001 entries thru 9th root 2.65E33, uniform	A006992
Chen primes	34076 entries thru 1159517, uniform	A109611
Elite primes	29 entries thru 3580135407617, uniform	A102742
Flat primes	56 entries thru 379, uniform	A192862
Fortunate primes	1494 entries thru 78059, uniform	A046066
Fouvry–Iwaniec primes	10K entries thru 623353, uniform	A185086
Good primes	10K entries thru 8746811, uniform	A028388
Green–Tao prime	21 entries thru 6269243827111	A005115
Harmonic primes	10K entries thru 309851, uniform	A092101
Higgs primes	1000 entries thru 23531, uniform	A007459
Highly cototient primes	42 entries thru 30029, uniform	A105440
Irregular primes	10K entries thru 294001, uniform	A000928
Lucky primes	10K entries thru 1191163, uniform	A031157
Mirimanoff primes	(2 entries)	A014127
Motzkin primes	(4 entries)	A092832
Partition primes	100 entries thru 9th root 299739325397119573785, uniform	A049575
Pillai primes	10K entries 213043, uniform	A063980
Ramanujan primes	10K entries 242057, uniform	A104272
Regular primes	10K entries 181957, uniform	A007703
Safe primes	10K entries 2698727, uniform	A005385
Sophie Germain primes	100K entries thru 19391363, uniform	A005384
Stern primes	(8 entries)	A042978
Super-primes	100K entries thru 20491057, uniform	A006450
Subfactorial primes	(5 entries)	A100015
Supersingular primes	(15 small entries)	A002267
Sylvester primes	8181 entries thru 4292771827, uniform	A007996
Symmetric primes	10K entries thru 126307, uniform	A090190
Thin primes	1000 entries thru 61297, uniform	A192869
Ulam primes	49221 entries thru 9999877, uniform	A068820
Wedderburn-Etherington prime	14 thru 9852801774222802457119814738073136914072348071335480633169417277909155746150705781482843, skewed	A136402
Wieferich primes	(2 entries)	A001220
Wilson primes	(3 entries)	A007540
Wolstenholme primes	(2 entries)	A088164
Almost-factorial Primes	12 entries thru 9th root 1.27E33, skewed	A055490
Almost-primorial primes	7 entries thru 9th root 299451348451919, skewed	A055490
Beastly primes	20K entries thru 68466659, uniform	A131645
Cuban primes	1000 entries thru 65524807, uniform	A002407
Circular primes	46 entries thru 319993	A068652
Carol prime	24 thru 9th root 3.8E52	A091516
Dihedral primes	30 entries thru 1088081	A134996
Double Mersenne	(4 entries)	A077586
Euclid primes	8 entries thru 9th root 106208473825219452	A018239
Honaker primes	1000 entries thru 283303	A033548
Iccanobif primes	15 entries thru 19900335674812302969315720344396951060628175943800862267761734431012073266446403, skewed	A036797
Kynea primes	30 entries thru 9th root 2.39 E110	A091514
Lucas primes	21 entries thru 258899611203303418721656157249445530046830073044201152332257717521	A005479
Left-truncatable primes	4260 entries thru 357686312646216567629137	A024785
Monotonic decreasing gap	13 entries thru 1273135176799	A158940
Monotonic increasing gap	14 entries thru 1472840004017	A158939
Minimal primes	26 entries thru 66600049	A071062
Mills prime	8 entries thru 9th root 4.11 E84	A051254
Markov	1000 entries thru 60362212372938768121282741975801	A002559
Mersenne	18 entries thru 9th root 3.99 E107	A000668
Mersenne numbers	100 entries thru 9th root 1245224099228995909	A001348
Mersenne prime exponents	43 entries thru 30402457	A000043
Newman-Shanks-Williams	8 entries thru 123426017006182806728593424683999798008235734137469123231828679	A088165
Octavan	1000 entries thru 4317177333726232097	A006686
Padovan	12 entries thru 1558877695141608507751098941899265975115403618621811951868598809164180630185566719	A100891
Palindromic	10K entries thru 13649694631	A002385
Pell	23 entries thru 9th root 5.31 E101	A086383
Primenomial	30 entries thru 30 13827257	A078625
Prime digit primes	10K thru 273322727	A019546
Primorial minus 1	7 entries thru 9th root 299451348451919, skewed	A057705
Primorial plus 1	22 entries thru 392113	A005234
Perrin	16 entries thru 22584751787583336797527561822649328254745329, skewed	A074788
Pierpont	1602 entries thru 9th root 15895633967914113693572	A005109
Partition	100 entries thru 9th root 299739325397119573785	A049575
Pythagorean	10K entries thru 225217	A002144
Quasi-factorial primes	11 entries thru 9th root 1.46E30	A088332
Quasi-fibonorial primes	10 entries thru 1419564463863171507576408104556964008024375775796704645430601388670976000001, skewed	A053413
Quintan A	25 entries thru 61051	A002649
Quintan B	28 entries thru 74731	A002650
Quartan	10K entries thru 47157914257	A002645
Quasi-square primes	10K 25186959617	A002496
Repunit	5 entries thru 9th root 2.81 E114, skewed	A004022
Right Truncatable	83 entries thru 73939133	A024770
Sum of odd primes	1000 entries thru 2049281029	A071151
Strobogrammatic	30 entries thru 1990661	A007597
Star	1000 entries thru 89606161	A083577
Startorial prime	20 entries thru 89874292518420479	A110094
Thabit Number	27 entries thru 9th root 4.62E42	A007505
Two-Sided	15 entries thru 739397, skewed	A020994
Ulam	49221 entries thru 9999877	A068820
Undulating	51 entries thru 383838383	A032758
Undulating palindromic	32 entries thru 989898989	A059758
xx	xxx	Axxx
A210506	12 entries thru 67421	A210506
A187819	11 entries thru 98897	A187819
Courteous primes	45 entries thru 3301	A158754
A135076	1000 entries thru 7297 (unordered!)	A135076
A005105	5000 entries thru 9th root 6.83 E77	A005105
A002383	10751 entries thru 9997500157	A002383
A066436	1000 entries thru 33407137	A066436
A085104	3880 entries thru 999856021	A085104
A016041	1000 entries thru 30408727	A016041
Hamming Wt n	3320 entries thru 9th root 1.20 E111	A061712
A073102	38 entries thru 17011	A073102
Zsigmondy numbers	1000 entries (unordered!), max ~ 9th root 2.22 E33	A064078
A127581	21 unique entries thru 2147483647 (sequence has duplicates!)	A127581
A062700	100 entries thru 40825711 (duplicates)	A062700
A014234	1000 entries thru 9th root 2.80 E33	A014234
A087522 (see A127581 too)	17 unique entries thru 2147483647 (sequence has duplicates!)	A087522
A217494	3000 entries thru 12920120371	A217494
A234310	800 entries thru 9th root 18014398509481984	A234310
A016047	(unordered, skewed) 202 terms max~9th root 200817158970239263804	A016047XX
A162652	40 entries thru 95791	A162652
A163418	40 entries thru 86143	A163418
(prime factors)	(unordered) 205 terms max~9th root 2.82 E40	A003260XX
(prime factors)	(unordered) 500 terms max~9th root 7574120241885602	A005420XX
A066540	1000 entries thru 311659	A066540
A090684	10K entries thru 28530871687	A090684
A136005	15 entries thru 9444732965739290427391	A136005
A031936	10K entries thru 2093219	A031936
A065403	100 entries thru 901331344494641	A065403
Mother primes	44 entries thru 8737	A136065
A023195	10K entries thru 5898338393851	A023195
A057876	45 entries thru 19531	A057876
(smallest prime)	(unordered) 80 terms max~9th root 8.17 E95	A121620XX
A059055	3880 entries thru 999856021	A059055
A117387	32 entries thru 2147483647	A117387
Primes p such that p - 2 and p^3 - 2 are also prime	3085 entries thru 7368079	A240126
Primes of the form p*q*r + 2 where p, q and r are consecutive prime	3525 entries thru 2188275962631972331	A240596
Least prime of the form prime(n)^2 + k^2	40 entries thru 30029	A240130
Chebyshev numbers	50 entries thru 7537	A220475
A226216	35 entries thru 616318177	A226216
A119494	34 thru 816779	A119494
A185313	12 entries thru 604394270371	A185313
Chebyshev numbers	50 entries thru 4481	A220474
A227785	475 entries thru 9984606349	A227785
A237992	38 entries thru 631991	A237992
K-bit primes	10000 entries thru 11711627	A153352
A173626	10K terms thru	A173626
Good primes (version 3)	10K terms thru	A187094
Primes of the form m*p^2 + 1	10K terms thru	A212287
??	1000 terms thru 10464319	A215013
Primes with more than twice as many 1s as 0s in binary	10K terms thru	A225222
A230518	100 terms thru 9th root 2658133306961104337305090832635297212021626851131911140146494403511063962004763794126831514554330316583650516640329198346078022144303518403606260023513674671336969657377428004661276007358347433478711768786316632950080601	A230518
Primes dividing all Fibonacci sequences	1000 terms thru 49547	A000057
A242755	10K terms thru 1589239	A242755
(A242902)	[ primes encountered ...] mono incr	A242902
A242752	10K terms thru 313147	A242752
A256834 Primes of form n^2 + 1296	10K terms thru 60885070297 (only end in 1 or 7)	A256834
A256775 Primes of form n^2 + 81	10K terms thru 60272214097 (only end in 1 or 7)	A256775
A256837 Primes of form n^2 + 6561	10K terms thru 61201818661 (only end in 1 or 7)	A256837
A139506 Primes of the form x^2 + 26x*y + y^2 for x and y nonnegative	43 terms thru 6577 monotonically increasing	A139506
smallest prime(j) > a(n-1) such that prime(j+1) - prime(j) = 2n, a(0) = 2	180 terms thru 111948380491, uniform, monotonically increasing	A256454
a(0) = 3, then a(n) is the least prime greater than a(n-1) that follows a gap of exactly 2*n	180 terms thru 111948380851, uniform, monotonically increasing	A253899
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more

Name	breadth/spread	OEIS
A261192	1000 entries thru 51070631,uniform,monotonically increasing	A261192
distinct pattern&reverse primes	13 entries thru 9745119882 monotonically increasing	A256623
5-sequence intersection	25 thru 407462929 monotonically increasing	A258572
A260871	12 thru 1263023202979901596155544853826881857760357011832664659152364441, monotonically increasing	A260871
Divisorial Primes B	10K entries thru 10791395820677, monotonically increasing, very structured	A258455
Divisorial Primes A	500 entries thru 1038389703390359057, monotonically increasing	A258897
Primes p such that p + previousprime(p) is a squarefree	52 entries thru 1283, uniform, monotonically increasing	A206626 (also see A206462 companion)
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