What is the 2471st prime number?
The 2471st prime number is 22051. The next prime is 22063 (a gap of 12) and the one before is 22039.
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 2471st one is 22051.
- 2
22051 is prime because no prime up to ā22051 ā 148.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2471st prime is close to 2471 Ć ln(2471) ā 19304, and here it is 22051.
- 4
22051 has no twin: neither 22049 nor 22053 is prime.
Primes around the 2471st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2468 | 22031 | 4 |
| 2469 | 22037 | 6 |
| 2470 | 22039 | 2 |
| 2471 | 22051 | 12 |
| 2472 | 22063 | 12 |
| 2473 | 22067 | 4 |
| 2474 | 22073 | 6 |
Questions
What is the 2471st prime number?
22051.
Which prime number is 22051?
22051 is the 2471st prime number.
What is the sum of the first 2471 primes?
25,567,766.