What is the 3120th prime number?
The 3120th prime number is 28649. The next prime is 28657 (a gap of 8) and the one before is 28643.
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 3120th one is 28649.
- 2
28649 is prime because no prime up to ā28649 ā 169.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3120th prime is close to 3120 Ć ln(3120) ā 25102, and here it is 28649.
- 4
28649 has no twin: neither 28647 nor 28651 is prime.
Primes around the 3120th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3117 | 28627 | 6 |
| 3118 | 28631 | 4 |
| 3119 | 28643 | 12 |
| 3120 | 28649 | 6 |
| 3121 | 28657 | 8 |
| 3122 | 28661 | 4 |
| 3123 | 28663 | 2 |
Questions
What is the 3120th prime number?
28649.
Which prime number is 28649?
28649 is the 3120th prime number.
What is the sum of the first 3120 primes?
42,013,901.