What is the 2040th prime number?
The 2040th prime number is 17783. The next prime is 17789 (a gap of 6) and the one before is 17761.
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 2040th one is 17783.
- 2
17783 is prime because no prime up to ā17783 ā 133.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2040th prime is close to 2040 Ć ln(2040) ā 15546, and here it is 17783.
- 4
17783 has no twin: neither 17781 nor 17785 is prime.
Primes around the 2040th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2037 | 17747 | 10 |
| 2038 | 17749 | 2 |
| 2039 | 17761 | 12 |
| 2040 | 17783 | 22 |
| 2041 | 17789 | 6 |
| 2042 | 17791 | 2 |
| 2043 | 17807 | 16 |
Questions
What is the 2040th prime number?
17783.
Which prime number is 17783?
17783 is the 2040th prime number.
What is the sum of the first 2040 primes?
16,977,705.