What is the 9625th prime number?
The 9625th prime number is 100403. The next prime is 100411 (a gap of 8) and the one before is 100393.
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 9625th one is 100403.
- 2
100403 is prime because no prime up to ā100403 ā 316.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9625th prime is close to 9625 Ć ln(9625) ā 88282, and here it is 100403.
- 4
100403 has no twin: neither 100401 nor 100405 is prime.
Primes around the 9625th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9622 | 100379 | 16 |
| 9623 | 100391 | 12 |
| 9624 | 100393 | 2 |
| 9625 | 100403 | 10 |
| 9626 | 100411 | 8 |
| 9627 | 100417 | 6 |
| 9628 | 100447 | 30 |
Questions
What is the 9625th prime number?
100403.
Which prime number is 100403?
100403 is the 9625th prime number.
What is the sum of the first 9625 primes?
457,703,854.