What is the 1541st prime number?
The 1541st prime number is 12941. The next prime is 12953 (a gap of 12) and the one before is 12923.
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 1541st one is 12941.
- 2
12941 is prime because no prime up to ā12941 ā 113.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1541st prime is close to 1541 Ć ln(1541) ā 11311, and here it is 12941.
- 4
12941 has no twin: neither 12939 nor 12943 is prime.
Primes around the 1541st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1538 | 12917 | 6 |
| 1539 | 12919 | 2 |
| 1540 | 12923 | 4 |
| 1541 | 12941 | 18 |
| 1542 | 12953 | 12 |
| 1543 | 12959 | 6 |
| 1544 | 12967 | 8 |
Questions
What is the 1541st prime number?
12941.
Which prime number is 12941?
12941 is the 1541st prime number.
What is the sum of the first 1541 primes?
9,319,378.