What is the 3099th prime number?
The 3099th prime number is 28493. The next prime is 28499 (a gap of 6) and the one before is 28477.
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 3099th one is 28493.
- 2
28493 is prime because no prime up to ā28493 ā 168.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3099th prime is close to 3099 Ć ln(3099) ā 24912, and here it is 28493.
- 4
28493 has no twin: neither 28491 nor 28495 is prime.
Primes around the 3099th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3096 | 28447 | 8 |
| 3097 | 28463 | 16 |
| 3098 | 28477 | 14 |
| 3099 | 28493 | 16 |
| 3100 | 28499 | 6 |
| 3101 | 28513 | 14 |
| 3102 | 28517 | 4 |
Questions
What is the 3099th prime number?
28493.
Which prime number is 28493?
28493 is the 3099th prime number.
What is the sum of the first 3099 primes?
41,413,728.