What is the 8959th prime number?
The 8959th prime number is 92737. The next prime is 92753 (a gap of 16) and the one before is 92723.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8959th one is 92737.
- 2
92737 is prime because no prime up to ā92737 ā 304.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8959th prime is close to 8959 Ć ln(8959) ā 81531, and here it is 92737.
- 4
92737 has no twin: neither 92735 nor 92739 is prime.
Primes around the 8959th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8956 | 92707 | 8 |
| 8957 | 92717 | 10 |
| 8958 | 92723 | 6 |
| 8959 | 92737 | 14 |
| 8960 | 92753 | 16 |
| 8961 | 92761 | 8 |
| 8962 | 92767 | 6 |
Questions
What is the 8959th prime number?
92737.
Which prime number is 92737?
92737 is the 8959th prime number.
What is the sum of the first 8959 primes?
393,408,070.