What is the 9001st prime number?
The 9001st prime number is 93187. The next prime is 93199 (a gap of 12) and the one before is 93179.
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 9001st one is 93187.
- 2
93187 is prime because no prime up to ā93187 ā 305.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9001st prime is close to 9001 Ć ln(9001) ā 81955, and here it is 93187.
- 4
93187 has no twin: neither 93185 nor 93189 is prime.
Primes around the 9001st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8998 | 93151 | 12 |
| 8999 | 93169 | 18 |
| 9000 | 93179 | 10 |
| 9001 | 93187 | 8 |
| 9002 | 93199 | 12 |
| 9003 | 93229 | 30 |
| 9004 | 93239 | 10 |
Questions
What is the 9001st prime number?
93187.
Which prime number is 93187?
93187 is the 9001st prime number.
What is the sum of the first 9001 primes?
397,312,508.