Statistics of the Data-Section

Started: 2007-09-13 Last update: 2014-10-17

Ranges as follows:

A: n < 10
B: n < 100
C: n < 1000
D: n < 10000
E: n > 10000

Data for twins from G.Barnes and H.Aggarwal here (all twins for k < 100000 and n < 15k)
Note: Only on summary-pages marked twins or CC's are counted so if anyone finds more, please contact the author.

k range	#k's	#primes	linked Top5000	#15k	#2145k	#2805k	#low	#Riesel	#twins	A	B	C	D	E
1 to 300	150	5371	1567	10	-	-	36	-	107	59	38	8	2	-
300 to 2k	850	29041	4827	56	-	-	205	3	433	182	208	38	4	1
2k to 4k	1000	31305	1382	64	1	1	238	2	473	196	229	40	7	1
4k to 6k	1000	24247	532	67	-	-	233	1	435	196	185	45	9	-
6k to 8k	1000	23561	1293	66	1	-	224	1	408	170	199	34	4	1
8k to 10k	1000	20333	371	65	-	1	239	3	415	171	207	35	2	-
10⁴ to 10⁵	659	6400	691	116	19	16	188	114	246	81	127	35	2	1
10⁵ to 10⁶	878	5937	388	121	25	5	105	394	204	60	105	29	5	5
10⁶ to 10⁷	445	2540	333	96	9	6	70	-	75	34	29	10	-	2
10⁷ to 10⁸	299	5169	168	73	20	18	117	-	169	55	73	36	2	3
10⁸ to 10⁹	472	7337	336	64	136	82	153	-	171	42	89	35	2	3
10⁹ to 10¹⁰	158	5102	155	41	60	36	3	-	136	29	73	22	2	10
10¹⁰ to Inf	357	11285	217	100	103	24	55	-	288	41	157	64	13	13
Sums	8268	177628	12260	940	374	189	1866	518	3560	1316	1719	431	54	40

CC: Cunningham Chains, so CC2 is of length 2 -> Sophie Germain

The next table is out of date!!!

k range	#CC	CC2	A	B	C	D	E	CC3	A	B	C	D	E	CC4	A	B	C	D	E	CC5	A	B	C	D	E	CC6	A	B	C	D	E	CC7	CC8	CC9	CC10
1 to 300	93	80	45	31	4	-	-	10	6	4	-	-	-	2	2	-	-	-	-	-	-	-	-	-	-	1	1	-	-	-	-	-	-	-	-
300 to 2k	402	364	132	180	48	4	-	30	21	9	-	-	-	6	5	1	-	-	-	2	2	-	-	-	-	-	-	-	-	-	-	-	-	-	-
2k to 4k	360	315	116	151	45	3	-	40	27	11	2	-	-	4	4	-	-	-	-	1	1	-	-	-	-	-	-	-	-	-	-	-	-	-	-
4k to 6k	365	325	114	161	47	3	-	35	19	14	2	-	-	5	3	2	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
6k to 8k	349	318	117	155	42	4	-	30	25	5	-	-	-	-	-	-	-	-	-	1	1	-	-	-	-	-	-	-	-	-	-	-	-	-	-
8k to 10k	378	340	111	175	48	5	1	34	20	14	-	-	-	4	4	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-
10⁴ to 10⁵	118	92	28	40	24	-	-	20	6	12	2	-	-	1	1	-	-	-	-	3	3	-	-	-	-	1	1	-	-	-	-	-	-	-	-
10⁵ to 10⁶	53	35	5	22	8	-	-	8	3	4	1	-	-	3	3	-	-	-	-	-	-	-	-	-	-	6	6	-	-	-	-	1	-	-	-
10⁶ to 10⁷	59	29	7	17	5	-	-	12	4	7	1	-	-	3	1	2	-	-	-	-	-	-	-	-	-	5	5	-	-	-	-	9	1	-	-
10⁷ to 10⁸	69	36	9	20	6	-	1	8	4	4	-	-	-	3	1	1	1	-	-	-	-	-	-	-	-	-	-	-	-	-	-	17	2	3	-
10⁸ to 10⁹	121	96	13	46	30	6	1	18	8	7	2	1	-	1	-	1	-	-	-	-	-	-	-	-	-	1	1	-	-	-	-	1	4	-	-
10⁹ to 10¹⁰	153	132	22	63	37	8	2	8	4	3	1	-	-	1	-	1	-	-	-	-	-	-	-	-	-	-	-	-	-	-	-	7	1	1	1
10¹⁰ to Inf	123	104	12	54	31	1	6	13	2	6	4	-	1	4	2	2	-	-	-	2	2	-	-	-	-	-	-	-	-	-	-	-	-	-	-
Sums	2643	2266	731	1115	375	34	11	266	149	100	15	1	1	38	26	11	1	-	-	9	9	-	-	-	-	14	14	-	-	-	-	35	8	4	1

Statistics history:

Date	#k's	#primes	linked Top5000	twins	Sophie Germains
2014-10-16	8268	177628	12260	3560	?
2011-07-08	8062	164378	10565	3462	?
2010-10-06	8055	162942	9532	3457	?
2010-07-09	8050	161669	9224	3456	?
2010-01-01	7893	150907	7914	3115	?
2009-05-05	7642	142850	5849	3056	?
2009-02-10	7559	137568	5054	3045	?
2009-01-04	7542	136743	4244	3040	?
2008-11-18	7422	133434	3156	2977	?
2008-10-17	7395	132356	3016	2958	?
2008-09-29	7388	132073	2968	2947	?
2008-08-05	7328	130367	2526	2915	?
2008-01-31	7262	123678	2085	2712	?
2007-12-30	7202	122754	1892	2707	?
2007-11-30	7051	120153	1711	2613	?
2007-10-31	6759	118888	?	?	?
2007-09-19	6692	116978	?	?	?
2007-08-09	6588	116381	?	?	?
2007-07-25	6512	110641	?	?	?
2007-07-12	6457	110005	?	?	?
2007-06-30	2342	23211	?	?	?
2007-06-15	1971	13216	?	?	?
2007-06-01	1856	12779	?	?	?
2007-05-22	1719	12132	?	?	?
2007-05-15	1489	12097	?	?	?

ToDo:

count primes in ranges
remarkable spots of this table as example like CC6 for k = 45 or 8 Twins for k = 165 and 1995