What is the 2145th prime number?
The 2145th prime number is 18797. The next prime is 18803 (a gap of 6) and the one before is 18793.
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 2145th one is 18797.
- 2
18797 is prime because no prime up to ā18797 ā 137.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2145th prime is close to 2145 Ć ln(2145) ā 16454, and here it is 18797.
- 4
18797 has no twin: neither 18795 nor 18799 is prime.
Primes around the 2145th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2142 | 18773 | 16 |
| 2143 | 18787 | 14 |
| 2144 | 18793 | 6 |
| 2145 | 18797 | 4 |
| 2146 | 18803 | 6 |
| 2147 | 18839 | 36 |
| 2148 | 18859 | 20 |
Questions
What is the 2145th prime number?
18797.
Which prime number is 18797?
18797 is the 2145th prime number.
What is the sum of the first 2145 primes?
18,896,642.