What is the 1545th prime number?
The 1545th prime number is 12973. The next prime is 12979 (a gap of 6) and the one before is 12967.
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 1545th one is 12973.
- 2
12973 is prime because no prime up to ā12973 ā 113.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1545th prime is close to 1545 Ć ln(1545) ā 11345, and here it is 12973.
- 4
12973 has no twin: neither 12971 nor 12975 is prime.
Primes around the 1545th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1542 | 12953 | 12 |
| 1543 | 12959 | 6 |
| 1544 | 12967 | 8 |
| 1545 | 12973 | 6 |
| 1546 | 12979 | 6 |
| 1547 | 12983 | 4 |
| 1548 | 13001 | 18 |
Questions
What is the 1545th prime number?
12973.
Which prime number is 12973?
12973 is the 1545th prime number.
What is the sum of the first 1545 primes?
9,371,230.