A117081 - cp's OEIS frontend

A117081 a(n) = 36n^2 - 810n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.

n	a(n)
0	2753
1	1979
2	1277
3	647
4	89
5	-397
6	-811
7	-1153
8	-1423
9	-1621
10	-1747
11	-1801
12	-1783
13	-1693
14	-1531
15	-1297
16	-991
17	-613
18	-163
19	359
20	953
21	1619
22	2357
23	3167
24	4049
25	5003
26	6029
27	7127
28	8297
29	9539
30	10853
31	12239
32	13697
33	15227
34	16829
35	18503
36	20249
37	22067
38	23957
39	25919
40	27953
41	30059
42	32237
43	34487
44	36809
45	39203
46	41669

[2753, 1979, 1277, 647, 89, -397, -811, -1153, -1423, -1621, -1747, -1801, -1783, -1693, -1531, -1297, -991, -613, -163, 359, 953, 1619, 2357, 3167, 4049, 5003, 6029, 7127, 8297, 9539, 10853, 12239, 13697, 15227, 16829, 18503, 20249, 22067, 23957, 25919, 27953, 30059, 32237, 34487, 36809, 39203, 41669]

cp's OEIS Frontend

A117081 a(n) = 36n^2 - 810n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.

Table of values

List of values

cp's OEIS Frontend

A117081 a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.

Table of values

List of values

A117081 a(n) = 36n^2 - 810n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.