What is the 3121st prime number?
The 3121st prime number is 28657. The next prime is 28661 (a gap of 4) and the one before is 28649.
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 3121st one is 28657.
- 2
28657 is prime because no prime up to ā28657 ā 169.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3121st prime is close to 3121 Ć ln(3121) ā 25111, and here it is 28657.
- 4
28657 has no twin: neither 28655 nor 28659 is prime.
Primes around the 3121st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3118 | 28631 | 4 |
| 3119 | 28643 | 12 |
| 3120 | 28649 | 6 |
| 3121 | 28657 | 8 |
| 3122 | 28661 | 4 |
| 3123 | 28663 | 2 |
| 3124 | 28669 | 6 |
Questions
What is the 3121st prime number?
28657.
Which prime number is 28657?
28657 is the 3121st prime number.
What is the sum of the first 3121 primes?
42,042,558.