What is the 1757th prime number?
The 1757th prime number is 15031. The next prime is 15053 (a gap of 22) and the one before is 15017.
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 1757th one is 15031.
- 2
15031 is prime because no prime up to ā15031 ā 122.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1757th prime is close to 1757 Ć ln(1757) ā 13127, and here it is 15031.
- 4
15031 has no twin: neither 15029 nor 15033 is prime.
Primes around the 1757th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1754 | 14983 | 14 |
| 1755 | 15013 | 30 |
| 1756 | 15017 | 4 |
| 1757 | 15031 | 14 |
| 1758 | 15053 | 22 |
| 1759 | 15061 | 8 |
| 1760 | 15073 | 12 |
Questions
What is the 1757th prime number?
15031.
Which prime number is 15031?
15031 is the 1757th prime number.
What is the sum of the first 1757 primes?
12,341,030.