32401

Properties

Appears in sequences

• Primes p == 1 (mod 4) where class number of Q(sqrt p) increases.at n=9A002142
• Primes of the form k^2 + 1.at n=32A002496
• Primes of the form p*q+2 where p and q are consecutive primes.at n=7A048880
• Primes of form pq + 2 where p and q are twin primes.at n=3A051779
• Primes followed by a [10,2,10] prime difference pattern of A001223.at n=31A052376
• Odd powers of primes of the form q = x^2 + 1 (A002496).at n=41A054755
• Numbers whose divisors have the form m^k + 1, k>1.at n=34A054964
• Smallest prime that begins with the n-th square in decimal notation.at n=17A065145
• Primes whose digits can be arranged in increasing cyclic order - to form a substring of 123456789012345678901234567890...at n=44A068710
• Greatest prime factor of prime(n+1)^2 + prime(n)^2.at n=40A069485
• Primes p such that x^5 = 2 has a solution mod p, but x^(5^2) = 2 has no solution mod p.at n=21A070182
• Average of squares of successive primes: a(n) = (prime(n+1)^2 + prime(n)^2)/2, with n >= 2.at n=39A075892
• a(n) is the largest prime of the form x^2 + 1 <= 2^n.at n=14A083849
• Table read by rows where i-th row consists of primes P of the form P=(j*P(i)#)^2 +1 with 0 < j < P(i+1). Here P(i)# = A002110(i).at n=7A087728
• Primes of the form 5k^2 + 5k + 1.at n=41A090562
• Primes of form (prime(n)^2 + prime(n+1)^2)/2.at n=8A093343
• Primes arising as A093929(n)*A093929(n+1)+2.at n=38A093930
• Let a,b be prime numbers satisfying the Diophantine equation a^3+b^3=(a+b)*(a^2-a*b+b^2)=c^2. Then the second factor a^2-a*b+b^2 is 3*e^2 for some integer e. This sequence tabulates the 'e' values, sorted by magnitude of c.at n=3A099809
• Five-digit primes which use each of the decimal digits 0 through 4 exactly once.at n=8A109176
• Primes of the form 2^a * 3^b * 5^c + 1 for positive a, b, c.at n=35A114991