20287

Properties

Appears in sequences

• Numbers which are primes and which remain prime for three successive applications of incrementing each digit by 2 with carries ignored.at n=23A088787
• Initial members of 25 consecutive primes in a 5 X 5 spiral wherein the mean of all 12 sums is prime.at n=34A094458
• Primes from merging of 5 successive digits in decimal expansion of Catalan's constant.at n=15A104919
• Mother primes of order 11.at n=29A136070
• Primes congruent to 50 mod 59.at n=37A142777
• Primes congruent to 35 mod 61.at n=39A142833
• T(n,m) = Sum_{j=0..m} (-1)^(j + m)*(j + 1)^n*binomial(m, j) + Sum_{j=0..(n-m)} (-1)^(j - m + n )*(1 + j)^n*binomial(n-m, j).at n=29A156820
• T(n,m) = Sum_{j=0..m} (-1)^(j + m)*(j + 1)^n*binomial(m, j) + Sum_{j=0..(n-m)} (-1)^(j - m + n )*(1 + j)^n*binomial(n-m, j).at n=34A156820
• a(n) = 46*n^2 + 1.at n=21A158632
• Number of distinct values taken by w^w^...^w (with n w's and parentheses inserted in all possible ways) where w is the first transfinite ordinal omega.at n=12A199812
• Pairs of consecutive primes {p,q} for which the numbers of distinct residues of all factorials mod p and mod q coincide.at n=33A210242
• G.f. satisfies: A(x) = (1+x*A(x)^3)*(1+x^2*A(x)^2)*(1+x^3*A(x)).at n=7A211855
• Primes whose base-7 representation also is the base-4 representation of a prime.at n=52A235617
• Primes p such that p^2 + 4 and p^2 + 10 are also primes.at n=40A237890
• a(n) = A087803(n) - n + 1.at n=12A255170
• Primes p such that p+-2 and p+-4 are semiprimes.at n=13A266845
• Poincaré series for invariant polynomial functions on the space of binary forms of degree 10.at n=38A293935
• The first of three consecutive primes the sum of which is equal to the sum of three consecutive hexagonal numbers.at n=5A298273
• Primes in A374965 sorted into increasing order.at n=38A373804
• Primes in A374965 in order of their occurrence.at n=14A375028