31153

Properties

Appears in sequences

• Primes such that the sum of the squares of its digits is equal to the product of its digits.at n=4A067779
• Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+8), n>=0.at n=8A067986
• Primes p of the form a^4+b^4+c^4 with a,b,c>=1 such that a^2+b^2+c^2 is another prime < p.at n=31A126117
• Smaller of 3 consecutive prime numbers such that p1*p2*p3+d1+d2-1=average of twin prime pairs, d1(delta)=p2-p1,d2(delta)=p3-p2.at n=11A153402
• Primes p0 such that p0+p1+p2-+2 are primes; p0,p1,p2 are three consecutive primes.at n=31A158351
• Primes p such that there are positive integers m and n and a prime q such that p = m^2+m-q = n^2+n+q.at n=29A162652
• Primes of the form ((p-1)/2)^2+((p+1)/2), where p is prime.at n=30A163418
• Noncomposite numbers in the southwestern ray of the Ulam spiral as oriented on the March 1964 cover of Scientific American.at n=22A168026
• Primes of form a^2+b^2 such that a^4+b^4 and a^8+b^8 are primes.at n=24A182313
• Primes of the form n^2 + n + 1 where n is nonprime.at n=40A185632
• Number of squares of all sizes in 3*n*(n+1)/2-ominoes in form of three-quarters of Aztec diamonds.at n=42A258440
• Primes in A258774.at n=30A258776
• Twin prime pairs of the form (k^2 + k - 1, k^2 + k + 1).at n=47A265006
• Primes of the form 1 + n + n^2 + n^3 + ... + n^k, n > 1, k > 1 where n is not prime.at n=40A285017
• Brazilian primes that are also the greater of a pair of twin primes.at n=25A306889
• Number of integer partitions of n such that every pair of distinct parts has a different quotient.at n=43A325853
• Sum of the sixth largest parts of the partitions of n into 10 parts.at n=47A326593
• Primes p such that if q and r are the next two primes, 6*q-r, 6*q-p, 6*q+p and 6*q+r are all prime.at n=14A351636
• Number of achiral orthoplex n-ominoes with cell centers determining n-3 space.at n=6A355050
• Prime numbersat n=3356