20743

Properties

Appears in sequences

• Numbers n such that n and n+4^k are all primes for k=1,2,3.at n=39A049493
• Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223.at n=22A052166
• Primes followed by a [4,2,4] prime difference pattern of A001223.at n=35A052378
• a(n) = next prime after n^4.at n=11A053786
• Primes p such that the differences between the 5 consecutive primes starting with p are (4,2,4,6).at n=8A078952
• Primes of the form k^2 + 7.at n=38A079138
• Primes p such that 6p + 1 and (p-1)/6 are primes.at n=33A085957
• For n > 1, a(n) is the smallest number such that n-th concatenation is prime and the smallest palindrome beginning with (but not equal to) this concatenation is also prime.at n=36A088090
• Primes which are also prime if their base 64 representation is interpreted as a base 10 number.at n=40A090717
• Lesser member p of cousin primes (p, p+4) such that (p+1, p+2, p+3) all have the same number of prime divisors (counted with multiplicity).at n=16A094230
• Prime mean of 8 horizontal, vertical and main diagonal sums associated with primes in A094454.at n=24A094455
• Primes congruent to 34 mod 59.at n=39A142761
• Primes p of the form : p+p^2+p^3-+8=prime.at n=19A154823
• Primes p such that p plus or minus the sum of the fourth powers of its digits is a prime in both cases.at n=31A179595
• Total number of repeated parts in all partitions of n.at n=27A194452
• Primes of the form 9n^2 + 7.at n=14A201707
• Number of (n+1)X(2+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=4A250626
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=19A250632
• Number of (5+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=1A250637
• a(n) = 8*n^3 - 449*n^2 + 7967*n - 45523.at n=34A253045