What is the 2128th prime number?
The 2128th prime number is 18593. The next prime is 18617 (a gap of 24) and the one before is 18587.
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 2128th one is 18593.
- 2
18593 is prime because no prime up to ā18593 ā 136.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2128th prime is close to 2128 Ć ln(2128) ā 16307, and here it is 18593.
- 4
18593 has no twin: neither 18591 nor 18595 is prime.
Primes around the 2128th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2125 | 18553 | 12 |
| 2126 | 18583 | 30 |
| 2127 | 18587 | 4 |
| 2128 | 18593 | 6 |
| 2129 | 18617 | 24 |
| 2130 | 18637 | 20 |
| 2131 | 18661 | 24 |
Questions
What is the 2128th prime number?
18593.
Which prime number is 18593?
18593 is the 2128th prime number.
What is the sum of the first 2128 primes?
18,578,423.