What is the 1753rd prime number?
The 1753rd prime number is 14969. The next prime is 14983 (a gap of 14) and the one before is 14957.
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 1753rd one is 14969.
- 2
14969 is prime because no prime up to ā14969 ā 122.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1753rd prime is close to 1753 Ć ln(1753) ā 13093, and here it is 14969.
- 4
14969 has no twin: neither 14967 nor 14971 is prime.
Primes around the 1753rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1750 | 14947 | 8 |
| 1751 | 14951 | 4 |
| 1752 | 14957 | 6 |
| 1753 | 14969 | 12 |
| 1754 | 14983 | 14 |
| 1755 | 15013 | 30 |
| 1756 | 15017 | 4 |
Questions
What is the 1753rd prime number?
14969.
Which prime number is 14969?
14969 is the 1753rd prime number.
What is the sum of the first 1753 primes?
12,280,986.