What is the 8985th prime number?
The 8985th prime number is 93001. The next prime is 93047 (a gap of 46) and the one before is 92993.
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 8985th one is 93001.
- 2
93001 is prime because no prime up to ā93001 ā 304.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8985th prime is close to 8985 Ć ln(8985) ā 81793, and here it is 93001.
- 4
93001 has no twin: neither 92999 nor 93003 is prime.
Primes around the 8985th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8982 | 92959 | 2 |
| 8983 | 92987 | 28 |
| 8984 | 92993 | 6 |
| 8985 | 93001 | 8 |
| 8986 | 93047 | 46 |
| 8987 | 93053 | 6 |
| 8988 | 93059 | 6 |
Questions
What is the 8985th prime number?
93001.
Which prime number is 93001?
93001 is the 8985th prime number.
What is the sum of the first 8985 primes?
395,822,698.