User:HeatIsCool/sandbox/1

Repeating decimals

Fraction	Value	Period length	Fraction	Value	Period length	Fraction	Value	Period length
1/2	0.5	0	1/17	0.0588235294117647	16	1/32	0.03125	0
1/3	0.3	1	1/18	0.05	1	1/33	0.03	2
1/4	0.25	0	1/19	0.052631578947368421	18	1/34	0.02941176470588235	16
1/5	0.2	0	1/20	0.05	0	1/35	0.0285714	6
1/6	0.16	1	1/21	0.047619	6	1/36	0.027	1
1/7	0.142857	6	1/22	0.045	2	1/37	0.027	3
1/8	0.125	0	1/23	0.0434782608695652173913	22	1/38	0.0263157894736842105	18
1/9	0.1	1	1/24	0.0416	1	1/39	0.025641	6
1/10	0.1	0	1/25	0.04	0	1/40	0.025	0
1/11	0.09	2	1/26	0.0384615	6	1/41	0.02439	5
1/12	0.083	1	1/27	0.037	3	1/42	0.0238095	6
1/13	0.076923	6	1/28	0.03571428	6	1/43	0.023255813953488372093	21
1/14	0.0714285	6	1/29	0.0344827586206896551724137931	28	1/44	0.0227	2
1/15	0.06	1	1/30	0.03	1	1/45	0.02	1
1/16	0.0625	0	1/31	0.032258064516129	15	1/46	0.02173913043478260869565	22
Fraction	Value	Period length	Fraction	Value	Period length	Fraction	Value	Period length
1/47	0.0212765957446808510638297872340425531914893617	46	1/62	0.0161290322580645	15	1/77	0.012987	6
1/48	0.02083	1	1/63	0.015873	6	1/78	0.0128205	6
1/49	0.020408163265306122448979591836734693877551	42	1/64	0.015625	0	1/79	0.0126582278481	13
1/50	0.02	0	1/65	0.0153846	6	1/80	0.0125	0
1/51	0.0196078431372549	16	1/66	0.015	2	1/81	0.012345679	8
1/52	0.01923076	6	1/67	0.014925373134328358208955223880597	33	1/82	0.012195	5
1/53	0.0188679245283	13	1/68	0.014705882352941176	16	1/83	0.01204819277108433734939759036144578313253	41
1/54	0.0185	3	1/69	0.0144927536231884057971	22	1/84	0.01190476	6
1/55	0.018	2	1/70	0.0142857	6	1/85	0.01176470588235294	16
1/56	0.017857142	6	1/71	0.01408450704225352112676056338028169	35	1/86	0.0116279069767441860465	21
1/57	0.017543859649122807	18	1/72	0.0138	1	1/87	0.0114942528735632183908045977	28
1/58	0.01724137931034482758620689655	28	1/73	0.01369863	8	1/88	0.01136	2
1/59	0.0169491525423728813559322033898305084745762711864406779661	58	1/74	0.0135	3	1/89	0.01123595505617977528089887640449438202247191	44
1/60	0.016	1	1/75	0.013	1	1/90	0.01	1
1/61	0.016393442622950819672131147540983606557377049180327868852459	60	1/76	0.01315789473684210526	18	1/91	0.010989	6
Fraction	Value	Period length	Fraction	Value	Period length	Fraction	Value	Period length
1/92	0.010869565217391304347826	22	1/107	0.00934579439252336448598130841121495327102803738317757	53	1/122	0.0081967213114754098360655737704918032786885245901639344262295	60
1/93	0.010752688172043	15	1/108	0.00925	3	1/123	0.00813	5
1/94	0.01063829787234042553191489361702127659574468085	46	1/109	0.00917431192660550458715596330275229357798165137614678990825688073394495412844036697247706422018348623853211	108	1/124	0.00806451612903225	15
1/95	0.0105263157894736842	18	1/110	0.009	2	1/125	0.008	0
1/96	0.010416	1	1/111	0.009	3	1/126	0.0079365	6
1/97	0.010309278350515463917525773195876288659793814432989690721649484536082474226804123711340206185567	96	1/112	0.0089285714	6	1/127	0.007874015748031496062992125984251968503937	42
1/98	0.0102040816326530612244897959183673469387755	42	1/113	0.0088495575221238938053097345132743362831858407079646017699115044247787610619469026548672566371681415929203539823	112	1/128	0.0078125	0
1/99	0.01	2	1/114	0.0087719298245614035	18	1/129	0.007751937984496124031	21
1/100	0.01	0	1/115	0.00869565217391304347826	22	1/130	0.0076923	6

Positively consecutive primes

Number	Prime factorization	Number	Prime factorization	Number	Prime factorization	Number	Prime factorization	Number	Prime factorization	Number	Prime factorization	Number	Prime factorization	Number	Prime factorization
12	22 · 3	23	PRIME	34	2 · 17	45	32 · 5	56	23 · 7	67	PRIME	78	2 · 3 · 13	89	PRIME
123	3 · 41	234	2 · 32 · 13	345	3 · 5 · 23	456	23 · 3 · 19	567	34 · 7	678	2 · 3 · 113	789	3 · 263
1234	2 · 617	2345	5 · 7 · 67	3456	27 · 33	4567	PRIME	5678	2 · 17 · 167	6789	3 · 31 · 73
12345	3 · 5 · 823	23456	25 · 733	34567	13 · 2659	45678	2 · 3 · 23 · 331	56789	109 · 521
123456	26 · 3 · 643	234567	32 · 67 · 389	345678	2 · 3 · 17 · 3389	456789	3 · 43 · 3541
1234567	127 · 9721	2345678	2 · 23 · 50993	3456789	3 · 7 · 97 · 1697
12345678	2 · 32 · 47 · 14593	23456789	PRIME
123456789	32 · 3607 · 3803
Number	Prime factorization	Number	Prime factorization	Number	Prime factorization	Number	Prime factorization	Number	Prime factorization	Number	Prime factorization	Number	Prime factorization	Number	Prime factorization