What is the 3095th prime number?
The 3095th prime number is 28439. The next prime is 28447 (a gap of 8) and the one before is 28433.
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 3095th one is 28439.
- 2
28439 is prime because no prime up to ā28439 ā 168.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3095th prime is close to 3095 Ć ln(3095) ā 24876, and here it is 28439.
- 4
28439 has no twin: neither 28437 nor 28441 is prime.
Primes around the 3095th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3092 | 28411 | 2 |
| 3093 | 28429 | 18 |
| 3094 | 28433 | 4 |
| 3095 | 28439 | 6 |
| 3096 | 28447 | 8 |
| 3097 | 28463 | 16 |
| 3098 | 28477 | 14 |
Questions
What is the 3095th prime number?
28439.
Which prime number is 28439?
28439 is the 3095th prime number.
What is the sum of the first 3095 primes?
41,299,848.