19457

Properties

Appears in sequences

• A sequence of sorted odd primes 3 = p_1 < p_2 < ... < p_m such that p_i-2 divides the product p_1*p_2*...*p_(i-1) of the earlier primes and each prime factor of p_i-1 is a prime factor of twice the product.at n=15A001259
• Primes of the form 512*k+1.at n=8A076339
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 6,2]; short d-string notation of pattern = [662].at n=17A078857
• The 6-tuples (d1,d2,d3,d4,d5,d6) with elements in {2,4,6} are listed in lexicographic order; for each 6-tuple, this sequence lists the smallest prime p >= 7 such that the differences between the 7 consecutive primes starting with p are (d1,d2,d3,d4,d5,d6), if such a prime exists.at n=41A078874
• Sorted version of A078874.at n=29A078875
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,2,6).at n=10A078965
• Smallest prime factor of the concatenation of terms of the n-th row of the Stirling's number of the second kind.at n=23A100757
• Primes congruent to 6 mod 53.at n=39A142536
• Primes congruent to 46 mod 59.at n=35A142773
• Primes p such that all the digits needed to write the consecutive Primes from 2 to p fill exactly a square (no holes, no overlaps).at n=25A158024
• a(n) = 76*n^2 + 1.at n=16A158767
• Primes of the form k * m^m + 1 with k < m^m.at n=24A180362
• a(n) is the largest prime factor of the number made by taking the previous term and duplicating the final digit, a(1) = 1.at n=28A195201
• Exponential (or binomial) convolution of A000032 (Lucas) with itself, divided by 2.at n=9A203579
• Exponential (or binomial) half-convolution of A000032 (Lucas) with itself.at n=9A204449
• 2*A203579 - A204449. Difference between the exponential convolution of A000032 (Lucas) with itself and the corresponding exponential half-convolution.at n=9A204450
• Number of (n+1) X 7 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors.at n=8A206265
• Primes of the form 128*k + 1.at n=35A208177
• Primes of the form 256*k + 1.at n=15A208178
• Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w^2<=x^2+y^2.at n=32A211806