51031

Properties

Appears in sequences

• Primes base 10 that remain primes in six bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=12A052028
• Primes which have a partition as the sum of squares of seven consecutive primes.at n=9A133560
• Numbers which are the sum of the squares of seven consecutive primes.at n=19A133562
• Primes where the first digit equals the sum of all the other digits.at n=34A156307
• a(n) = 70*n^2 + 1.at n=27A158734
• Primes obtained from other primes by prefixing a 5.at n=38A165555
• Primes whose digits add to 10 and which have a 3 in the tens place.at n=19A227825
• Numbers n such that n^2048 + (n+1)^2048 is prime.at n=36A274235
• The first of three consecutive primes the sum of which is equal to the sum of three consecutive triangular numbers.at n=27A298169
• a(n) is the smallest prime p such that the number of distinct values of the ratio (number of nonnegative m < p such that m^k == m (mod p))/(number of nonnegative m < p such that -m^k == m (mod p)) is equal to n for some nonnegative k.at n=28A340281
• Primes that are the sum of the cubes of four primes, not necessarily distinct.at n=36A353249
• a(n) = (n+1) * (n!)^2 * Sum_{k=1..n} 1/((k+1) * (k!)^2).at n=5A368787
• Primes that are the sum of some number of consecutive prime squares.at n=29A376916
• Smallest primitive prime factor of 7^n-1.at n=41A379640
• Prime numbersat n=5224