65579

Properties

Appears in sequences

• a(n) = lesser of a pair of twin primes p, q=p+2 such that product of first n primes plus p is a prime and also product of first n primes plus q is a prime.at n=40A090795
• Prime numbers whose digit reversal is a powerful(1) number (A001694).at n=31A115685
• Primes p such that p+2, p*(p+2) + 12 and p*(p+2) + 14 are also prime.at n=8A130736
• Primes of the form 2^x+2*x+y+2^y, with x and y integers of any sign.at n=37A162575
• Primes p of the form a^2-b^2 and p*a-b is also prime (with b=prime and a=b+1).at n=35A173875
• Minimal number (in decimal representation) with n nonprime substrings in base-4 representation (substrings with leading zeros are considered to be nonprime).at n=39A217104
• Primes of the form 2^n + 43.at n=5A243430
• Number of subsets of {1..n} whose elements have the same smallest prime factor.at n=32A339510
• Lexicographically first irreducible polynomial over GF(2) of degree n, evaluated at X = 2.at n=15A344141
• Lexicographically first irreducible polynomial over GF(2) of degree n with the lowest possible number of terms, evaluated at X = 2.at n=15A344142
• List of free 4-dimensional polyhypercubes in binary code (see A365139), ordered first by the number of cells, then by the value of the binary code.at n=29A365140
• a(n) is the least positive integer that can be expressed as the sum of a prime number and a fourth power of a nonnegative integer in exactly n ways.at n=8A365291
• Prime numbersat n=6549