What is the 1544th prime number?
The 1544th prime number is 12967. The next prime is 12973 (a gap of 6) and the one before is 12959.
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 1544th one is 12967.
- 2
12967 is prime because no prime up to ā12967 ā 113.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1544th prime is close to 1544 Ć ln(1544) ā 11336, and here it is 12967.
- 4
12967 has no twin: neither 12965 nor 12969 is prime.
Primes around the 1544th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1541 | 12941 | 18 |
| 1542 | 12953 | 12 |
| 1543 | 12959 | 6 |
| 1544 | 12967 | 8 |
| 1545 | 12973 | 6 |
| 1546 | 12979 | 6 |
| 1547 | 12983 | 4 |
Questions
What is the 1544th prime number?
12967.
Which prime number is 12967?
12967 is the 1544th prime number.
What is the sum of the first 1544 primes?
9,358,257.