What is the 9202nd prime number?
The 9202nd prime number is 95461. The next prime is 95467 (a gap of 6) and the one before is 95443.
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 9202nd one is 95461.
- 2
95461 is prime because no prime up to ā95461 ā 308.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9202nd prime is close to 9202 Ć ln(9202) ā 83988, and here it is 95461.
- 4
95461 has no twin: neither 95459 nor 95463 is prime.
Primes around the 9202nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9199 | 95429 | 10 |
| 9200 | 95441 | 12 |
| 9201 | 95443 | 2 |
| 9202 | 95461 | 18 |
| 9203 | 95467 | 6 |
| 9204 | 95471 | 4 |
| 9205 | 95479 | 8 |
Questions
What is the 9202nd prime number?
95461.
Which prime number is 95461?
95461 is the 9202nd prime number.
What is the sum of the first 9202 primes?
416,277,547.