What is the 2132nd prime number?
The 2132nd prime number is 18671. The next prime is 18679 (a gap of 8) and the one before is 18661.
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 2132nd one is 18671.
- 2
18671 is prime because no prime up to ā18671 ā 136.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2132nd prime is close to 2132 Ć ln(2132) ā 16341, and here it is 18671.
- 4
18671 has no twin: neither 18669 nor 18673 is prime.
Primes around the 2132nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2129 | 18617 | 24 |
| 2130 | 18637 | 20 |
| 2131 | 18661 | 24 |
| 2132 | 18671 | 10 |
| 2133 | 18679 | 8 |
| 2134 | 18691 | 12 |
| 2135 | 18701 | 10 |
Questions
What is the 2132nd prime number?
18671.
Which prime number is 18671?
18671 is the 2132nd prime number.
What is the sum of the first 2132 primes?
18,653,009.