WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

Reconstruction of Vega's Prime Number Table

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show number of primes

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show Gauss letter

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102001	102643	103451	104147	104801	105517	106273	106871	107693	108347
102013	102647	103457	104149	104803	105527	106277	106877	107699	108359
102019	102653	103471	104161	104827	105529	106279	106903	107713	108377
102023	102667	103483	104173	104831	105533	106291	106907	107717	108379
102031	102673	103511	104179	104849	105541	106297	106921	107719	108401
102043	102677	103529	104183	104851	105557	106303	106937	107741	108413
102059	102679	103549	104207	104869	105563	106307	106949	107747	108421
102061	102701	103553	104231	104879	105601	106319	106957	107761	108439
102071	102761	103561	104233	104891	105607	106321	106961	107773	108457
102077	102763	103567	104239	104911	105613	106331	106963	107777	108461
102079	102769	103573	104243	104917	105619	106349	106979	107791	108463
102101	102793	103577	104281	104933	105649	106357	106993	107827	108497
102103	102797	103583	104287	104947	105653	106363	107021	107837	108499
102107	102811	103591	104297	104953	105667	106367	107033	107839	108503
102121	102829	103613	104309	104959	105673	106373	107053	107843	108517
102139	102841	103619	104311	104971	105683	106391	107057	107857	108529
102149	102859	103643	104323	104987	105691	106397	107069	107867	108533
102161	102871	103651	104327	104999	105701	106411	107071	107873	108541
102181	102877	103657	104347	105019	105727	106417	107077	107881	108553
102191	102881	103669	104369	105023	105733	106427	107089	107897	108557
102197	102911	103681	104381	105031	105751	106433	107099	107903	108571
102199	102913	103687	104383	105037	105761	106441	107101	107923	108587
102203	102929	103699	104393	105071	105767	106451	107119	107927	108631
102217	102931	103703	104399	105097	105769	106453	107123	107941	108637
102229	102953	103723	104417	105107	105817	106487	107137	107951	108643
102233	102967	103769	104459	105137	105829	106501	107171	107971	108649
102241	102983	103787	104471	105143	105863	106531	107183	107981	108677
102251	103001	103801	104473	105167	105871	106537	107197	107999	108707
102253	103007	103811	104479	105173	105883	106541	107201	108007	108709
102259	103043	103813	104491	105199	105899	106543	107209	108011	108727
102293	103049	103837	104513	105211	105907	106591	107227	108013	108739
102299	103067	103841	104527	105227	105913	106619	107243	108023	108751
102301	103069	103843	104537	105229	105929	106621	107251	108037	108761
102317	103079	103867	104543	105239	105943	106627	107269	108041	108769
102329	103087	103889	104549	105251	105953	106637	107273	108061	108791
102337	103091	103903	104551	105253	105967	106649	107279	108079	108793
102359	103093	103913	104561	105263	105971	106657	107309	108089	108799
102367	103099	103919	104579	105269	105977	106661	107323	108107	108803
102397	103123	103951	104593	105277	105983	106663	107339	108109	108821
102407	103141	103963	104597	105319	105997	106669	107347	108127	108827
102409	103171	103967	104623	105323	106013	106681	107351	108131	108863
102433	103177	103969	104639	105331	106019	106693	107357	108139	108869
102437	103183	103979	104651	105337	106031	106699	107377	108161	108877
102451	103217	103981	104659	105341	106033	106703	107441	108179	108881
102461	103231	103991	104677	105359	106087	106721	107449	108187	108883
102481	103237	103993	104681	105361	106103	106727	107453	108191	108887
102497	103289	103997	104683	105367	106109	106739	107467	108193	108893
102499	103291	104003	104693	105373	106121	106747	107473	108203	108907
102503	103307	104009	104701	105379	106123	106751	107507	108211	108917
102523	103319	104021	104707	105389	106129	106753	107509	108217	108923
102533	103333	104033	104711	105397	106163	106759	107563	108223	108929
102539	103349	104047	104717	105401	106181	106781	107581	108233	108943
102547	103357	104053	104723	105407	106187	106783	107599	108247	108947
102551	103387	104059	104729	105437	106189	106787	107603	108263	108949
102559	103391	104087	104743	105449	106207	106801	107609	108271	108959
102563	103393	104089	104759	105467	106213	106823	107621	108287	108961
102587	103399	104107	104761	105491	106217	106853	107641	108289	108967
102593	103409	104113	104773	105499	106219	106859	107647	108293	108971
102607	103421	104119	104779	105503	106243	106861	107671	108301	108991
102611	103423	104123	104789	105509	106261	106867	107687	108343	109001

In 1797 Vega published a table of prime numbers from 102001 to 400031. On each of the pages 88–127 there are 600 numbers in 10 columns with 60 numbers. Page 128 has 6 columns with 16 numbers. While there are no mistakes on this page, there are on some other pages. This reconstruction corrects some of the mistakes.

We take the last numbers on each page of Vega's table (all are prime) and count the exact number of primes between the two consecutive last numbers. If Vega's table was correct, these numbers would be all 600. If the number is 599, than an incorrect number is included. If the number is 601, a prime is missing.

On page 92, the prime number 135727 is recorded twice. In these ways we see that there are four prime numbers missing from Vega's table.

We did not consider the possibility that on a page there is a prime missing and a composite number included.

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