What is the 1547th prime number?
The 1547th prime number is 12983. The next prime is 13001 (a gap of 18) and the one before is 12979.
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 1547th one is 12983.
- 2
12983 is prime because no prime up to ā12983 ā 113.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1547th prime is close to 1547 Ć ln(1547) ā 11361, and here it is 12983.
- 4
12983 has no twin: neither 12981 nor 12985 is prime.
Primes around the 1547th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1544 | 12967 | 8 |
| 1545 | 12973 | 6 |
| 1546 | 12979 | 6 |
| 1547 | 12983 | 4 |
| 1548 | 13001 | 18 |
| 1549 | 13003 | 2 |
| 1550 | 13007 | 4 |
Questions
What is the 1547th prime number?
12983.
Which prime number is 12983?
12983 is the 1547th prime number.
What is the sum of the first 1547 primes?
9,397,192.