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Old 2008-03-31, 02:54   #78
robert44444uk
 
robert44444uk's Avatar
 
Jun 2003
Suva, Fiji

7FA16 Posts
Default

Whoa

Hold up here. I have already gone a fair way through 5000-6500. So please lets get co-ordinated!

Thank you for checking 1-4000, I hope there were no errors, and below is 4000-5000. Only 3 new jumping champions.

Code:
4001	4147569
4002	5197923
4003	9237201
4004	1752213
4005	7392921
4006	1173417
4007	20778009
4008	1767783
4009	1929279
4010	9192093
4011	2000241
4012	1056495
4013	5072781
4014	21829155
4015	3025125
4016	2271237
4017	3079239
4018	7446675
4019	1325265
4020	10499793
4021	15669051
4022	700473
4023	512601
4024	4710525
4025	12373245
4026	25752855
4027	9886899
4028	3744483
4029	17085729
4030	559995
4031	3738909
4032	7092237
4033	11309235
4034	555723
4035	1711971
4036	4689015
4037	2634645
4038	1412535
4039	4782045
4040	3622107
4041	1741005
4042	263433
4043	567405
4044	1929993
4045	1462035
4046	13007817
4047	1762521
4048	4768785
4049	11351295
4050	4382823
4051	8548335
4052	9731337
4053	14791299
4054	5432307
4055	863199
4056	4503723
4057	2052315
4058	3951753
4059	4845939
4060	2304645
4061	2198175
4062	3257805
4063	6871479
4064	1771017
4065	7095429
4066	339087
4067	3011271
4068	9340845
4069	2449719
4070	2476533
4071	654579
4072	4517913
4073	1471365
4074	713685
4075	3316269
4076	718665
4077	12635481
4078	19312347
4079	4869411
4080	2631717
4081	174879
4082	4784613
4083	10594581
4084	14811573
4085	9038949
4086	16140675
4087	2990205
4088	243795
4089	352389
4090	6723393
4091	2609769
4092	6747153
4093	907725
4094	2719305
4095	982335
4096	2130693
4097	4399545
4098	8337483
4099	9711471
4100	12136155
4101	8713581
4102	4163985
4103	717525
4104	4354287
4105	2898471
4106	1813155
4107	4587585
4108	1742307
4109	836751
4110	6181347
4111	4095729
4112	1859865
4113	2534661
4114	116313
4115	4173981
4116	1082037
4117	3767961
4118	928683
4119	16632609
4120	42572193*
4121	1443771
4122	17977425
4123	5984679
4124	4053885
4125	623499
4126	5819847
4127	55853139*
4128	3763035
4129	602079
4130	1883577
4131	7249989
4132	14967405
4133	3521175
4134	2434497
4135	7922469
4136	5506053
4137	2285895
4138	12862107
4139	1206465
4140	3288423
4141	10603671
4142	1526175
4143	3608019
4144	9183993
4145	5062821
4146	5324223
4147	11652549
4148	7213035
4149	5353701
4150	7994973
4151	9831891
4152	9932823
4153	793515
4154	10844163
4155	5034741
4156	2383257
4157	3500085
4158	11951205
4159	996735
4160	14606115
4161	24134451
4162	17500413
4163	320529
4164	111573
4165	4214799
4166	10678137
4167	13106685
4168	6658317
4169	1881741
4170	13800507
4171	1315461
4172	37843593
4173	2347095
4174	9794493
4175	1579431
4176	2855223
4177	9561711
4178	11135817
4179	4778295
4180	8928675
4181	5597595
4182	5621583
4183	1580535
4184	6985017
4185	449949
4186	12173085
4187	12751539
4188	7751607
4189	674235
4190	9015387
4191	18795459
4192	6787167
4193	3668211
4194	3570495
4195	449841
4196	19934715
4197	10339371
4198	34758087
4199	3062121
4200	23831535
4201	8191689
4202	4670277
4203	14047131
4204	12249897
4205	2703981
4206	11968623
4207	4260879
4208	8983635
4209	4561179
4210	3254517
4211	4763349
4212	9014493
4213	2011869
4214	2300367
4215	11868741
4216	2534475
4217	8219919
4218	5128893
4219	941421
4220	1328055
4221	5296389
4222	3006015
4223	4363281
4224	902883
4225	15034761
4226	490263
4227	2405079
4228	5595207
4229	5350275
4230	7985073
4231	1989009
4232	5872395
4233	7507665
4234	1443855
4235	13782111
4236	10167255
4237	4070361
4238	10651827
4239	138009
4240	3286257
4241	2819649
4242	491547
4243	3783519
4244	3233517
4245	6763335
4246	734193
4247	17920029
4248	7857363
4249	684291
4250	4690353
4251	8541375
4252	4221735
4253	1792431
4254	14364465
4255	1263771
4256	665763
4257	4611861
4258	2422365
4259	19933635
4260	3592017
4261	3091125
4262	957957
4263	4035705
4264	2415567
4265	27452691
4266	16480137
4267	5148171
4268	16075587
4269	257241
4270	3043467
4271	3833985
4272	10074993
4273	12296349
4274	8986233
4275	5226741
4276	16431303
4277	8013351
4278	12607257
4279	11052441
4280	5403153
4281	1014549
4282	977103
4283	878571
4284	5151975
4285	5956551
4286	1944837
4287	4141749
4288	3464043
4289	247065
4290	2056485
4291	38173815
4292	5202555
4293	2280561
4294	2474367
4295	5126421
4296	19057503
4297	22449621
4298	6859227
4299	1421535
4300	10365747
4301	5867091
4302	6584457
4303	440229
4304	10883715
4305	1485039
4306	21385155
4307	13705665
4308	4159227
4309	12113949
4310	3337653
4311	106131
4312	15493413
4313	2107305
4314	8822523
4315	1897905
4316	2672793
4317	9396009
4318	28262925
4319	7706091
4320	1446447
4321	15641001
4322	14597997
4323	3195591
4324	6721995
4325	3352131
4326	4382907
4327	9512475
4328	6042225
4329	7928751
4330	7132593
4331	2027631
4332	587277
4333	6590199
4334	50591937
4335	32721
4336	32976393
4337	17708079
4338	1701303
4339	1809435
4340	2802135
4341	2097219
4342	1387797
4343	574701
4344	7546725
4345	22526925
4346	1557555
4347	952305
4348	4064643
4349	12341049
4350	208887
4351	12564945
4352	2268675
4353	104241
4354	16815345
4355	1280415
4356	24151365
4357	543699
4358	865035
4359	2830839
4360	2309985
4361	3991215
4362	8421147
4363	22296339
4364	3132933
4365	2673891
4366	8549973
4367	4352079
4368	6146175
4369	7636725
4370	6608433
4371	2568081
4372	12767523
4373	2443125
4374	2438517
4375	119895
4376	5801025
4377	3375285
4378	2417847
4379	16317645
4380	12325887
4381	326115
4382	14899623
4383	5964345
4384	23140077
4385	1665045
4386	502953
4387	1184469
4388	2368797
4389	1290261
4390	12547527
4391	7195731
4392	2812773
4393	1322631
4394	14447115
4395	6289701
4396	4998957
4397	1475751
4398	4326345
4399	6280119
4400	7162623
4401	11912661
4402	4430475
4403	1491171
4404	3517803
4405	50143095
4406	6340473
4407	2067195
4408	4154295
4409	3698145
4410	14053875
4411	1501521
4412	12986583
4413	3457731
4414	6179745
4415	5092629
4416	668103
4417	3672165
4418	9048117
4419	34060065
4420	2864787
4421	6286029
4422	13699185
4423	7288671
4424	228477
4425	9349305
4426	1234875
4427	7029309
4428	13309587
4429	13686819
4430	395655
4431	402801
4432	11848377
4433	21385095
4434	34698843
4435	13259451
4436	6601797
4437	379269
4438	814605
4439	3960771
4440	4767495
4441	13650909
4442	3646803
4443	3469281
4444	3403317
4445	970785
4446	3855873
4447	7807059
4448	10377543
4449	3038871
4450	7373547
4451	3574395
4452	842307
4453	5856249
4454	5364327
4455	3213045
4456	5330457
4457	2229261
4458	227757
4459	23481015
4460	28485345
4461	13996815
4462	2054613
4463	15783111
4464	10158507
4465	2520579
4466	8478735
4467	2341299
4468	7463547
4469	1200711
4470	10794417
4471	7310421
4472	6715587
4473	4442139
4474	1762665
4475	5796651
4476	2650737
4477	5588535
4478	18120603
4479	29720421
4480	16043427
4481	37383291
4482	5716695
4483	1461711
4484	4246137
4485	4616169
4486	20749035
4487	8742285
4488	1172997
4489	2249505
4490	2302287
4491	702501
4492	5405583
4493	2972775
4494	14668215
4495	3375609
4496	3634275
4497	2720205
4498	8718855
4499	18231405
4500	1161615
4501	1178661
4502	10074933
4503	13096125
4504	887733
4505	4299159
4506	5578317
4507	4633839
4508	4300587
4509	5443125
4510	9742923
4511	4495575
4512	852927
4513	12113151
4514	2234193
4515	5462811
4516	7343313
4517	9926259
4518	4564527
4519	10684011
4520	18154275
4521	11430591
4522	4800633
4523	6909141
4524	5697363
4525	594165
4526	11545107
4527	5021289
4528	292143
4529	4062741
4530	2270205
4531	1705185
4532	877593
4533	4697361
4534	3804453
4535	4756251
4536	4153593
4537	17579571
4538	1285917
4539	5114445
4540	29486415
4541	2171961
4542	7361685
4543	1071075
4544	1726263
4545	9139035
4546	3212145
4547	290835
4548	3076533
4549	1309191
4550	10631043
4551	18137331
4552	238743
4553	2993535
4554	7959705
4555	16069611
4556	13019703
4557	6074871
4558	8136387
4559	10301661
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4562	2622465
4563	6018051
4564	237903
4565	10525761
4566	6373437
4567	703341
4568	2559603
4569	5012499
4570	18235965
4571	1018731
4572	6225825
4573	11385729
4574	4184433
4575	7321521
4576	7490463
4577	2872485
4578	16817283
4579	2281341
4580	2347323
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4582	25494177
4583	10972389
4584	348747
4585	8892939
4586	314607
4587	11923851
4588	2410275
4589	7503705
4590	146787
4591	197595
4592	5185935
4593	6009519
4594	21133947
4595	22808649
4596	548067
4597	4112031
4598	3006213
4599	280569
4600	21490167
4601	1803669
4602	10967127
4603	1280655
4604	2881677
4605	2428389
4606	7146327
4607	3073935
4608	3506277
4609	8614479
4610	31193595
4611	211179
4612	1609713
4613	13070175
4614	4585845
4615	1718169
4616	3219315
4617	6736131
4618	9814695
4619	66969
4620	13406577
4621	5464989
4622	10128525
4623	15185835
4624	2413203
4625	623511
4626	1403787
4627	1820055
4628	17699475
4629	7434375
4630	8933127
4631	28597089
4632	546513
4633	12029451
4634	9803373
4635	4144131
4636	3518643
4637	618561
4638	456153
4639	3271605
4640	9476355
4641	16912905
4642	843513
4643	1731951
4644	10696527
4645	6674589
4646	4568985
4647	1770615
4648	6373395
4649	12272985
4650	3839943
4651	10306239
4652	1204413
4653	3015471
4654	1501695
4655	4660005
4656	2022153
4657	5488665
4658	27693627
4659	1974555
4660	2468793
4661	274485
4662	7936455
4663	671559
4664	16292997
4665	1568691
4666	29853837
4667	1767381
4668	3254925
4669	2587515
4670	9826197
4671	29267949
4672	2592765
4673	1610661
4674	364383
4675	5657511
4676	744087
4677	9793665
4678	2767773
4679	2435349
4680	3541767
4681	21542925
4682	4509945
4683	20813949
4684	5581557
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4686	2583765
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4689	2079165
4690	2149413
4691	5378619
4692	14343543
4693	7119051
4694	8611383
4695	24459759
4696	7274517
4697	6030315
4698	66725397*
4699	1971459
4700	3345303
4701	19378215
4702	8215527
4703	27137481
4704	8067447
4705	413001
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4707	12500679
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4709	7331709
4710	1691193
4711	5119785
4712	7183785
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4715	2847939
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4717	27154521
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4720	10987347
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4723	11775741
4724	8663823
4725	14309379
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4727	16026135
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4731	2763609
4732	906165
4733	12494985
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4735	2055711
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4738	637155
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4740	12691245
4741	5735535
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4753	2975379
4754	203253
4755	8980125
4756	4798935
4757	1532691
4758	2070003
4759	6352995
4760	3991557
4761	1441095
4762	4768083
4763	1290405
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4765	7039881
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4767	11413689
4768	15722433
4769	1354581
4770	3297045
4771	11341899
4772	2357793
4773	2172261
4774	9267837
4775	2545341
4776	6984633
4777	5537049
4778	1284093
4779	12115569
4780	1597365
4781	2727585
4782	18460983
4783	4625469
4784	1025403
4785	6666051
4786	8765583
4787	74565
4788	26335185
4789	12161865
4790	2964297
4791	3379869
4792	991347
4793	1475919
4794	7784385
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4796	7295385
4797	2502735
4798	6126057
4799	4023261
4800	11252973
4801	1120701
4802	732327
4803	963039
4804	6481305
4805	3208845
4806	22019655
4807	8981469
4808	7942635
4809	10768179
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4811	6326685
4812	18641415
4813	3358509
4814	22625133
4815	19246995
4816	26440797
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4818	2107287
4819	11603031
4820	6648543
4821	2900691
4822	8791755
4823	20476011
4824	16484127
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4827	1282755
4828	3638523
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4831	7415541
4832	622497
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4835	7787025
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4842	3666075
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4845	8656371
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4849	6213075
4850	866445
4851	2867559
4852	4038993
4853	5986551
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4860	8067087
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4863	1494729
4864	11661705
4865	5600241
4866	938565
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4870	6740505
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4873	9951669
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4883	6706479
4884	22767
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4886	22505223
4887	800109
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4891	5602605
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4893	1445295
4894	3269007
4895	2834625
4896	5064003
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4898	11555667
4899	5602041
4900	5652675
4901	2565
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4903	7230669
4904	37819947
4905	9718371
4906	17463207
4907	15869811
4908	10184727
4909	12373941
4910	11616003
4911	111885
4912	42343545
4913	7248189
4914	7325685
4915	8774751
4916	3337683
4917	2763939
4918	13608603
4919	8808645
4920	18012753
4921	3451119
4922	514545
4923	4562481
4924	12797283
4925	14017119
4926	3407205
4927	5049735
4928	13078323
4929	13039455
4930	14661003
4931	1174485
4932	433983
4933	218325
4934	2202735
4935	730755
4936	10073517
4937	14903361
4938	3608973
4939	14440995
4940	3560817
4941	575601
4942	1229493
4943	13010409
4944	22354365
4945	5402601
4946	17615433
4947	2566245
4948	11933637
4949	2386209
4950	11668863
4951	2242011
4952	3527595
4953	903411
4954	7987455
4955	2346735
4956	3434685
4957	28524351
4958	7079163
4959	3698835
4960	23016237
4961	918765
4962	5027265
4963	16934049
4964	4950315
4965	5701215
4966	8250747
4967	4188279
4968	20488125
4969	1751919
4970	381273
4971	11855175
4972	9754107
4973	1807845
4974	2537505
4975	6104415
4976	718665
4977	33114849
4978	13417515
4979	6874809
4980	5286603
4981	5153391
4982	1898415
4983	6773505
4984	14809737
4985	2071551
4986	2672133
4987	4554615
4988	12744243
4989	12815919
4990	7486395
4991	1950675
4992	416343
4993	6694449
4994	5367237
4995	886461
4996	9677493
4997	31569
4998	2455005
4999	8130255
5000	5852235

Last fiddled with by robert44444uk on 2008-03-31 at 02:55
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Old 2008-03-31, 05:16   #79
roger
 
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Wow, I wish I had your computer farm I'm afraid I only have a single 2Gb laptop, but am running an the batch files on both cores. It's still going slowly, but picking up as I have increased the kmax and with the stoponsuccess. With kmax=50M, it looks like around 70-90% of n's have verified twins.

Last fiddled with by roger on 2008-03-31 at 05:17
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Old 2008-03-31, 10:55   #80
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Default cnewpgen

Hello, how I get the program cnewpgen ? You can also send this file to
nluhn@yahoo.de. Perhaps I look for n between 10000 and 10200

Thanks!
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Old 2008-03-31, 12:19   #81
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Quote:
Originally Posted by Cybertronic View Post
Hello, how I get the program cnewpgen ?

Thanks!
Norman, see post #58 in this thread
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Old 2008-03-31, 12:47   #82
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Thanks.. I will try n=10000 to 10200 . okay ?
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Old 2008-03-31, 14:47   #83
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i updated the page with all results upto n=5000 and marked the champions too.
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Old 2008-03-31, 19:22   #84
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Quote:
Originally Posted by gd_barnes View Post
it makes more sense to search a much smaller range of k over a range of n instead of doing a fixed-n search
If you want TPS to abandon our fixed-n search after finding a prime for n=333333, you'll need to:

1.) Suggest the range of k and n that you think makes sense.
2.) Provide a program that can search the whole range of k and n at once. NewPGen won't work because either the k or the n value has to be fixed.

Quote:
I thought TPS was going to do a fixed-n twin search on n=500K.
That was the original plan, but I'm willing to change it even after doing some sieving on n=500K.
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Old 2008-03-31, 19:41   #85
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Whatever "k" and "n" you look at, simultaneously searching with a "quadruple sieve" for archivable forms "twin primes" and "Sophie Germain primes" is the right thing to do IMHO.
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Old 2008-03-31, 21:16   #86
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I go back to my old project. Here the results.

n k
10000 10642317
10001 8590875
10002 2481813
10003 12176169
10004 10808517
10005 3257595
10006 12110457
10007 1374729
10008 227547
10009 14244069
10010 >33M
10011 >33M
10012 >33M
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Old 2008-04-01, 04:29   #87
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I stitched the posts above into one excel chart and graphed them, with and without my data. I added a trendline, and the equations turned out to be (averages):
k=0.2973*n^1.9555 [for data of n=1->5000, no gaps]
k=0.3823*n^1.9191 [for data of n=1->10000, with gaps]

Attached is the excel file.
Attached Files
File Type: zip Twins.zip (140.7 KB, 475 views)
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Old 2008-04-01, 05:53   #88
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Quote:
Originally Posted by roger View Post
I stitched the posts above into one excel chart and graphed them, with and without my data. I added a trendline, and the equations turned out to be (averages):
k=0.2973*n^1.9555 [for data of n=1->5000, no gaps]
k=0.3823*n^1.9191 [for data of n=1->10000, with gaps]

Attached is the excel file.
This accords with my findings, but Bob Silverman guided me to retrofit to theory, which deal with A*n^2, with A a variable or a constant, and it was also concluded that we should look at medians rather than averages - try to place the values in percentiles over a block of n and you will see that the rogue values have a large influence over the average.

When you look at A constant, the data fits quite well to A=0.24.

You might want to try to plot Norman's formula that he suggested a couple of days ago.
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