What is the 1546th prime number?
The 1546th prime number is 12979. The next prime is 12983 (a gap of 4) and the one before is 12973.
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 1546th one is 12979.
- 2
12979 is prime because no prime up to ā12979 ā 113.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1546th prime is close to 1546 Ć ln(1546) ā 11353, and here it is 12979.
- 4
12979 has no twin: neither 12977 nor 12981 is prime.
Primes around the 1546th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1543 | 12959 | 6 |
| 1544 | 12967 | 8 |
| 1545 | 12973 | 6 |
| 1546 | 12979 | 6 |
| 1547 | 12983 | 4 |
| 1548 | 13001 | 18 |
| 1549 | 13003 | 2 |
Questions
What is the 1546th prime number?
12979.
Which prime number is 12979?
12979 is the 1546th prime number.
What is the sum of the first 1546 primes?
9,384,209.