What is the 6151st prime number?
The 6151st prime number is 61051. The next prime is 61057 (a gap of 6) and the one before is 61043.
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 6151st one is 61051.
- 2
61051 is prime because no prime up to ā61051 ā 247.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6151st prime is close to 6151 Ć ln(6151) ā 53664, and here it is 61051.
- 4
61051 has no twin: neither 61049 nor 61053 is prime.
Primes around the 6151st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6148 | 61027 | 20 |
| 6149 | 61031 | 4 |
| 6150 | 61043 | 12 |
| 6151 | 61051 | 8 |
| 6152 | 61057 | 6 |
| 6153 | 61091 | 34 |
| 6154 | 61099 | 8 |
Questions
What is the 6151st prime number?
61051.
Which prime number is 61051?
61051 is the 6151st prime number.
What is the sum of the first 6151 primes?
177,538,656.