What is the 3097th prime number?
The 3097th prime number is 28463. The next prime is 28477 (a gap of 14) and the one before is 28447.
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 3097th one is 28463.
- 2
28463 is prime because no prime up to ā28463 ā 168.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3097th prime is close to 3097 Ć ln(3097) ā 24894, and here it is 28463.
- 4
28463 has no twin: neither 28461 nor 28465 is prime.
Primes around the 3097th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3094 | 28433 | 4 |
| 3095 | 28439 | 6 |
| 3096 | 28447 | 8 |
| 3097 | 28463 | 16 |
| 3098 | 28477 | 14 |
| 3099 | 28493 | 16 |
| 3100 | 28499 | 6 |
Questions
What is the 3097th prime number?
28463.
Which prime number is 28463?
28463 is the 3097th prime number.
What is the sum of the first 3097 primes?
41,356,758.