What is the 2240th prime number?
The 2240th prime number is 19793. The next prime is 19801 (a gap of 8) and the one before is 19777.
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 2240th one is 19793.
- 2
19793 is prime because no prime up to ā19793 ā 140.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2240th prime is close to 2240 Ć ln(2240) ā 17280, and here it is 19793.
- 4
19793 has no twin: neither 19791 nor 19795 is prime.
Primes around the 2240th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2237 | 19759 | 6 |
| 2238 | 19763 | 4 |
| 2239 | 19777 | 14 |
| 2240 | 19793 | 16 |
| 2241 | 19801 | 8 |
| 2242 | 19813 | 12 |
| 2243 | 19819 | 6 |
Questions
What is the 2240th prime number?
19793.
Which prime number is 19793?
19793 is the 2240th prime number.
What is the sum of the first 2240 primes?
20,733,211.