What is the 9290th prime number?
The 9290th prime number is 96461. The next prime is 96469 (a gap of 8) and the one before is 96457.
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 9290th one is 96461.
- 2
96461 is prime because no prime up to ā96461 ā 310.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9290th prime is close to 9290 Ć ln(9290) ā 84880, and here it is 96461.
- 4
96461 has no twin: neither 96459 nor 96463 is prime.
Primes around the 9290th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9287 | 96443 | 12 |
| 9288 | 96451 | 8 |
| 9289 | 96457 | 6 |
| 9290 | 96461 | 4 |
| 9291 | 96469 | 8 |
| 9292 | 96479 | 10 |
| 9293 | 96487 | 8 |
Questions
What is the 9290th prime number?
96461.
Which prime number is 96461?
96461 is the 9290th prime number.
What is the sum of the first 9290 primes?
424,721,357.