What is the 3094th prime number?
The 3094th prime number is 28433. The next prime is 28439 (a gap of 6) and the one before is 28429.
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 3094th one is 28433.
- 2
28433 is prime because no prime up to ā28433 ā 168.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3094th prime is close to 3094 Ć ln(3094) ā 24867, and here it is 28433.
- 4
28433 has no twin: neither 28431 nor 28435 is prime.
Primes around the 3094th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3091 | 28409 | 6 |
| 3092 | 28411 | 2 |
| 3093 | 28429 | 18 |
| 3094 | 28433 | 4 |
| 3095 | 28439 | 6 |
| 3096 | 28447 | 8 |
| 3097 | 28463 | 16 |
Questions
What is the 3094th prime number?
28433.
Which prime number is 28433?
28433 is the 3094th prime number.
What is the sum of the first 3094 primes?
41,271,409.