What is the 9102nd prime number?
The 9102nd prime number is 94379. The next prime is 94397 (a gap of 18) and the one before is 94351.
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 9102nd one is 94379.
- 2
94379 is prime because no prime up to ā94379 ā 307.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9102nd prime is close to 9102 Ć ln(9102) ā 82976, and here it is 94379.
- 4
94379 has no twin: neither 94377 nor 94381 is prime.
Primes around the 9102nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9099 | 94343 | 12 |
| 9100 | 94349 | 6 |
| 9101 | 94351 | 2 |
| 9102 | 94379 | 28 |
| 9103 | 94397 | 18 |
| 9104 | 94399 | 2 |
| 9105 | 94421 | 22 |
Questions
What is the 9102nd prime number?
94379.
Which prime number is 94379?
94379 is the 9102nd prime number.
What is the sum of the first 9102 primes?
406,784,867.