What is the 2477th prime number?
The 2477th prime number is 22093. The next prime is 22109 (a gap of 16) and the one before is 22091.
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 2477th one is 22093.
- 2
22093 is prime because no prime up to ā22093 ā 148.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2477th prime is close to 2477 Ć ln(2477) ā 19357, and here it is 22093.
- 4
22093 is a twin prime: 22091 and 22093 are both prime.
Primes around the 2477th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2474 | 22073 | 6 |
| 2475 | 22079 | 6 |
| 2476 | 22091 | 12 |
| 2477 | 22093 | 2 |
| 2478 | 22109 | 16 |
| 2479 | 22111 | 2 |
| 2480 | 22123 | 12 |
Questions
What is the 2477th prime number?
22093.
Which prime number is 22093?
22093 is the 2477th prime number.
What is the sum of the first 2477 primes?
25,700,232.