What is the 3122nd prime number?
The 3122nd prime number is 28661. The next prime is 28663 (a gap of 2) and the one before is 28657.
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 3122nd one is 28661.
- 2
28661 is prime because no prime up to ā28661 ā 169.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3122nd prime is close to 3122 Ć ln(3122) ā 25120, and here it is 28661.
- 4
28661 is a twin prime: 28661 and 28663 are both prime.
Primes around the 3122nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3119 | 28643 | 12 |
| 3120 | 28649 | 6 |
| 3121 | 28657 | 8 |
| 3122 | 28661 | 4 |
| 3123 | 28663 | 2 |
| 3124 | 28669 | 6 |
| 3125 | 28687 | 18 |
Questions
What is the 3122nd prime number?
28661.
Which prime number is 28661?
28661 is the 3122nd prime number.
What is the sum of the first 3122 primes?
42,071,219.