What is the 3093rd prime number?
The 3093rd prime number is 28429. The next prime is 28433 (a gap of 4) and the one before is 28411.
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 3093rd one is 28429.
- 2
28429 is prime because no prime up to ā28429 ā 168.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3093rd prime is close to 3093 Ć ln(3093) ā 24858, and here it is 28429.
- 4
28429 has no twin: neither 28427 nor 28431 is prime.
Primes around the 3093rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3090 | 28403 | 10 |
| 3091 | 28409 | 6 |
| 3092 | 28411 | 2 |
| 3093 | 28429 | 18 |
| 3094 | 28433 | 4 |
| 3095 | 28439 | 6 |
| 3096 | 28447 | 8 |
Questions
What is the 3093rd prime number?
28429.
Which prime number is 28429?
28429 is the 3093rd prime number.
What is the sum of the first 3093 primes?
41,242,976.