What is the 1754th prime number?
The 1754th prime number is 14983. The next prime is 15013 (a gap of 30) and the one before is 14969.
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 1754th one is 14983.
- 2
14983 is prime because no prime up to ā14983 ā 122.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1754th prime is close to 1754 Ć ln(1754) ā 13102, and here it is 14983.
- 4
14983 has no twin: neither 14981 nor 14985 is prime.
Primes around the 1754th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1751 | 14951 | 4 |
| 1752 | 14957 | 6 |
| 1753 | 14969 | 12 |
| 1754 | 14983 | 14 |
| 1755 | 15013 | 30 |
| 1756 | 15017 | 4 |
| 1757 | 15031 | 14 |
Questions
What is the 1754th prime number?
14983.
Which prime number is 14983?
14983 is the 1754th prime number.
What is the sum of the first 1754 primes?
12,295,969.