What is the 1755th prime number?
The 1755th prime number is 15013. The next prime is 15017 (a gap of 4) and the one before is 14983.
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 1755th one is 15013.
- 2
15013 is prime because no prime up to ā15013 ā 122.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1755th prime is close to 1755 Ć ln(1755) ā 13110, and here it is 15013.
- 4
15013 has no twin: neither 15011 nor 15015 is prime.
Primes around the 1755th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1752 | 14957 | 6 |
| 1753 | 14969 | 12 |
| 1754 | 14983 | 14 |
| 1755 | 15013 | 30 |
| 1756 | 15017 | 4 |
| 1757 | 15031 | 14 |
| 1758 | 15053 | 22 |
Questions
What is the 1755th prime number?
15013.
Which prime number is 15013?
15013 is the 1755th prime number.
What is the sum of the first 1755 primes?
12,310,982.