What is the 2129th prime number?
The 2129th prime number is 18617. The next prime is 18637 (a gap of 20) and the one before is 18593.
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 2129th one is 18617.
- 2
18617 is prime because no prime up to ā18617 ā 136.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2129th prime is close to 2129 Ć ln(2129) ā 16315, and here it is 18617.
- 4
18617 has no twin: neither 18615 nor 18619 is prime.
Primes around the 2129th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2126 | 18583 | 30 |
| 2127 | 18587 | 4 |
| 2128 | 18593 | 6 |
| 2129 | 18617 | 24 |
| 2130 | 18637 | 20 |
| 2131 | 18661 | 24 |
| 2132 | 18671 | 10 |
Questions
What is the 2129th prime number?
18617.
Which prime number is 18617?
18617 is the 2129th prime number.
What is the sum of the first 2129 primes?
18,597,040.