What is the 8607th prime number?
The 8607th prime number is 88853. The next prime is 88861 (a gap of 8) and the one before is 88843.
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 8607th one is 88853.
- 2
88853 is prime because no prime up to ā88853 ā 298.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8607th prime is close to 8607 Ć ln(8607) ā 77982, and here it is 88853.
- 4
88853 has no twin: neither 88851 nor 88855 is prime.
Primes around the 8607th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8604 | 88817 | 4 |
| 8605 | 88819 | 2 |
| 8606 | 88843 | 24 |
| 8607 | 88853 | 10 |
| 8608 | 88861 | 8 |
| 8609 | 88867 | 6 |
| 8610 | 88873 | 6 |
Questions
What is the 8607th prime number?
88853.
Which prime number is 88853?
88853 is the 8607th prime number.
What is the sum of the first 8607 primes?
361,448,008.