31033

Properties

Appears in sequences

• Reflectable emirps.at n=25A007628
• Prime lucky numbers k (from A031157) such that nextprime(k)=nextlucky(k).at n=35A057698
• Expansion of e.g.f.: exp(x)/(1-x^2/2).at n=9A087214
• Primes arising in A090266.at n=26A090267
• Smallest prime obtained by sandwiching prime(n) between identical digits, except that a(5) = 0.at n=26A090268
• Largest prime factor of 2^n-3.at n=25A093817
• Primes p such that A000041(p)+p are also prime numbers.at n=16A163151
• Primes with exactly three 3's.at n=31A178552
• Cyclops emirps.at n=32A183057
• Palindromic primes in the sense of A007500 with digits '0', '1' and '3' only.at n=23A199303
• Primes whose digits add to 10 and which have a 3 in the tens place.at n=14A227825
• Numbers that require three steps to collapse to a single digit in base 4 (written in base 4).at n=19A253953
• Non-palindromic balanced primes in base 16.at n=43A256090
• Primes having only {0, 1, 3} as digits.at n=47A260044
• P(n,k) is an array read by rows, with n > 0 and k=1..5, where row n gives the chain of 5 consecutive primes {p(i), p(i+1), p(i+2), p(i+3), p(i+4)} having the symmetrical property p(i) + p(i+4) = p(i+1) + p(i+3) = 2*p(i+2) for some index i.at n=20A267028
• Primes equal to a pentagonal number plus 1.at n=27A285789
• Lucky primes k such that k+6 is also a lucky prime.at n=36A309381
• Emirp-indexed emirps: emirps with emirp subscripts.at n=27A326442
• Emirps p such that if q is the next emirp after p, 2*q-p is also an emirp.at n=30A350852
• Place n equally spaced points around the circumference of a circle and then, for each pair of points, draw two distinct circles, whose radii are the same as the first circle, such that both points lie on their circumferences. The sequence gives the total number of vertices formed.at n=23A371373