71333

Properties

Appears in sequences

• 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, 2,6]; short d-string notation of pattern = [626].at n=36A078854
• 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=29A078874
• Sorted version of A078874.at n=34A078875
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,2,6,6).at n=6A078960
• Primes such that least significant digit swapped with all other digits yields primes.at n=44A090934
• Primes p such that p's set of distinct digits is {1,3,7}.at n=31A108382
• Number of (n+1)X(2+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=4A253527
• Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=1A253530
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=16A253533
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=19A253533
• G.f.: Sum_{k>0} x^prime(k)/(1-x)^k.at n=29A278800
• Initial member of 6 consecutive primes a, b, c, d, e, f such that (a + f) = (b + e), (a + e) = (b + d) and (c + f) = (d + e).at n=3A292743
• Prime numbersat n=7062