What is the 3098th prime number?
The 3098th prime number is 28477. The next prime is 28493 (a gap of 16) and the one before is 28463.
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 3098th one is 28477.
- 2
28477 is prime because no prime up to ā28477 ā 168.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3098th prime is close to 3098 Ć ln(3098) ā 24903, and here it is 28477.
- 4
28477 has no twin: neither 28475 nor 28479 is prime.
Primes around the 3098th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3095 | 28439 | 6 |
| 3096 | 28447 | 8 |
| 3097 | 28463 | 16 |
| 3098 | 28477 | 14 |
| 3099 | 28493 | 16 |
| 3100 | 28499 | 6 |
| 3101 | 28513 | 14 |
Questions
What is the 3098th prime number?
28477.
Which prime number is 28477?
28477 is the 3098th prime number.
What is the sum of the first 3098 primes?
41,385,235.