What is the 1770th prime number?
The 1770th prime number is 15149. The next prime is 15161 (a gap of 12) and the one before is 15139.
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 1770th one is 15149.
- 2
15149 is prime because no prime up to ā15149 ā 123.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1770th prime is close to 1770 Ć ln(1770) ā 13237, and here it is 15149.
- 4
15149 has no twin: neither 15147 nor 15151 is prime.
Primes around the 1770th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1767 | 15131 | 10 |
| 1768 | 15137 | 6 |
| 1769 | 15139 | 2 |
| 1770 | 15149 | 10 |
| 1771 | 15161 | 12 |
| 1772 | 15173 | 12 |
| 1773 | 15187 | 14 |
Questions
What is the 1770th prime number?
15149.
Which prime number is 15149?
15149 is the 1770th prime number.
What is the sum of the first 1770 primes?
12,537,353.