What is the 6149th prime number?
The 6149th prime number is 61031. The next prime is 61043 (a gap of 12) and the one before is 61027.
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 6149th one is 61031.
- 2
61031 is prime because no prime up to ā61031 ā 247.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6149th prime is close to 6149 Ć ln(6149) ā 53644, and here it is 61031.
- 4
61031 has no twin: neither 61029 nor 61033 is prime.
Primes around the 6149th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6146 | 61001 | 40 |
| 6147 | 61007 | 6 |
| 6148 | 61027 | 20 |
| 6149 | 61031 | 4 |
| 6150 | 61043 | 12 |
| 6151 | 61051 | 8 |
| 6152 | 61057 | 6 |
Questions
What is the 6149th prime number?
61031.
Which prime number is 61031?
61031 is the 6149th prime number.
What is the sum of the first 6149 primes?
177,416,562.