What is the 1542nd prime number?
The 1542nd prime number is 12953. The next prime is 12959 (a gap of 6) and the one before is 12941.
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 1542nd one is 12953.
- 2
12953 is prime because no prime up to ā12953 ā 113.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1542nd prime is close to 1542 Ć ln(1542) ā 11320, and here it is 12953.
- 4
12953 has no twin: neither 12951 nor 12955 is prime.
Primes around the 1542nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1539 | 12919 | 2 |
| 1540 | 12923 | 4 |
| 1541 | 12941 | 18 |
| 1542 | 12953 | 12 |
| 1543 | 12959 | 6 |
| 1544 | 12967 | 8 |
| 1545 | 12973 | 6 |
Questions
What is the 1542nd prime number?
12953.
Which prime number is 12953?
12953 is the 1542nd prime number.
What is the sum of the first 1542 primes?
9,332,331.