A090684: Primes of the form .

{ 7, 31, 71, 127, 199, 647, 967, 1151, 1567, 2311, 2591, 2887, 3527, 4231, ... } 
221
 223
 225
 227
 229
 231
 233
 235
 237
 239
 241

219
 145
 147
 149
 151
 153
 155
 157
 159
 161
 163

217
 143
 85
 87
 89
 91
 93
 95
 97
 99
 165

215
 141
 83
 41
 43
 45
 47
 49
 51
 101
 167

213
 139
 81
 39
 13
 15
 17
 19
 53
 103
 169

211
 137
 79
 37
 11
 1
 3
 21
 55
 105
 171

209
 135
 77
 35
 9
 7
 5
 23
 57
 107
 173

207
 133
 75
 33
 31
 29
 27
 25
 59
 109
 175

205
 131
 73
 71
 69
 67
 65
 63
 61
 111
 177

203
 129
 127
 125
 123
 121
 119
 117
 115
 113
 179

201
 199
 197
 195
 193
 191
 189
 187
 185
 183
 181

In the odd number variant of the Ulam spiral, unimpeded by the even numbers, the prime numbers can line up in horizontal and vertical lines. But there are still noticeable diagonal lines of primes, and these primes fall on one such diagonal.
 A239797 Decimal expansion of .
 A238271 Decimal expansion of .
 A237042 UPC check digits.
 A236603 Lowest canonical Gray cycles of length 2n.
 A235365 Smallest odd prime factor of 3^{n} + 1.
 A234522 Decimal expansion of .
 A233748 Number of graphs on n vertices with edges colored with at most four interchangeable colors under the symmetries of the full edge permutation group.
 A232499 Number of unit squares, aligned with a Cartesian grid, completely within the first quadrant of a circle centered at the origin ordered by increasing radius.
 A231963 Concatenate n with its UPC check digit.
 A230624 Numbers n with property that for every base , there is a number m such that m + s(m) = n, where s(m) is the sum of digits in the base b expansion of m.

Sequences in the News
 November 18, 2016 PrimeGrid proves that 10223 is not a Sierpinski number, since 10223 × 2 31172165 + 1 is prime. So no changes to A076336 for now.
 September 14, 2016 Tom Greer discovers the twin primes 2996863034895 × 2 1290000 ± 1 using PrimeGrid, TwinGen and LLR.
 January 19, 2016 Largest known term of A000043 announced: 274207281, also discovered by Curtis Cooper.
 March 2, 2014 Fredrik Johansson announces a computation of the partition number , the largest known term of A000041.
 December 6, 2013 Microsoft launches a challenge to find large nonMersenne primes, A138837.
 May 13, 2013 H. A. Helfgott submits a proof of the weak Goldbach conjecture, i.e. for odd numbers as sums of three primes: A007963 has no more zeroes.
 January 25, 2013 Curtis Cooper discovers a new member of A000043, 57885161. Its index is not known but is at least 48.
 January 13, 2013 The winners of the contest for new sequences in the OEIS at JMM 2013 were announced: A187824, A187771, and A187761.
