What is the 9402nd prime number?
The 9402nd prime number is 97841. The next prime is 97843 (a gap of 2) and the one before is 97829.
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 9402nd one is 97841.
- 2
97841 is prime because no prime up to ā97841 ā 312.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9402nd prime is close to 9402 Ć ln(9402) ā 86016, and here it is 97841.
- 4
97841 is a twin prime: 97841 and 97843 are both prime.
Primes around the 9402nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9399 | 97789 | 2 |
| 9400 | 97813 | 24 |
| 9401 | 97829 | 16 |
| 9402 | 97841 | 12 |
| 9403 | 97843 | 2 |
| 9404 | 97847 | 4 |
| 9405 | 97849 | 2 |
Questions
What is the 9402nd prime number?
97841.
Which prime number is 97841?
97841 is the 9402nd prime number.
What is the sum of the first 9402 primes?
435,600,573.