What is the 9204th prime number?
The 9204th prime number is 95471. The next prime is 95479 (a gap of 8) and the one before is 95467.
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 9204th one is 95471.
- 2
95471 is prime because no prime up to ā95471 ā 308.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9204th prime is close to 9204 Ć ln(9204) ā 84009, and here it is 95471.
- 4
95471 has no twin: neither 95469 nor 95473 is prime.
Primes around the 9204th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9201 | 95443 | 2 |
| 9202 | 95461 | 18 |
| 9203 | 95467 | 6 |
| 9204 | 95471 | 4 |
| 9205 | 95479 | 8 |
| 9206 | 95483 | 4 |
| 9207 | 95507 | 24 |
Questions
What is the 9204th prime number?
95471.
Which prime number is 95471?
95471 is the 9204th prime number.
What is the sum of the first 9204 primes?
416,468,485.