What is the 2475th prime number?
The 2475th prime number is 22079. The next prime is 22091 (a gap of 12) and the one before is 22073.
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 2475th one is 22079.
- 2
22079 is prime because no prime up to ā22079 ā 148.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2475th prime is close to 2475 Ć ln(2475) ā 19340, and here it is 22079.
- 4
22079 has no twin: neither 22077 nor 22081 is prime.
Primes around the 2475th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2472 | 22063 | 12 |
| 2473 | 22067 | 4 |
| 2474 | 22073 | 6 |
| 2475 | 22079 | 6 |
| 2476 | 22091 | 12 |
| 2477 | 22093 | 2 |
| 2478 | 22109 | 16 |
Questions
What is the 2475th prime number?
22079.
Which prime number is 22079?
22079 is the 2475th prime number.
What is the sum of the first 2475 primes?
25,656,048.