43783
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(0)=a(1)=3; thereafter a(n) = a(n-1) + a(n-2) + 1.at n=20A022403
- a(0)=3, a(1)=7; thereafter a(n) = a(n-1) + a(n-2) + 1.at n=19A022406
- Primes occurring in exactly three prime triples (p,q,r) with p<q<r=p+6.at n=16A098423
- Prime quadruples: 2nd term.at n=24A136720
- Numbers x such that 0 < |x^7 - y^2| < x^(5/2) for some number y.at n=10A173348
- Numbers that have 11 terms in their Zeckendorf representation.at n=2A179251
- Values x for records of minima of the positive distance d between the seventh power of a positive integer x and the square of an integer y such that d = x^7 - y^2 (x <> k^2 and y <> k^7).at n=25A179785
- Primes with equal number of 1's and 0's in their representation in base of Fibonacci numbers (A014417).at n=12A182575
- Smallest prime with n terms in its Zeckendorf representation.at n=10A182667
- Number of length n binary words such that maximal runs of 1's are restricted to length one or two and maximal runs of 0's are of odd length.at n=22A236340
- Table read by rows: list of prime 5-tuples of the form (p, p+2, p+6, p+8, p+12).at n=41A270998
- Table read by rows: list of prime 5-tuples of the form (p, p+4, p+6, p+10, p+12).at n=42A270999
- Table read by rows: list of prime sextuplets (p, p+4, p+6, p+10, p+12, p+16).at n=26A271000
- Numbers k such that k!6 + 24 is prime, where k!6 is the sextuple factorial number (A085158 ).at n=27A288446
- Expansion of Product_{k>=1} 1/(1 - x^k)^(mod(k,3)).at n=38A301589
- Numbers with equal counts of 1's and 0's in both their binary and Zeckendorf representations.at n=9A327911
- a(0)=1, a(1)=3, a(2)=7; thereafter a(n) = a(n-1) + a(n-2) + 1.at n=20A355288
- Prime numbersat n=4560