What is the 7923rd prime number?
The 7923rd prime number is 80953. The next prime is 80963 (a gap of 10) and the one before is 80933.
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 7923rd one is 80953.
- 2
80953 is prime because no prime up to ā80953 ā 284.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7923rd prime is close to 7923 Ć ln(7923) ā 71129, and here it is 80953.
- 4
80953 has no twin: neither 80951 nor 80955 is prime.
Primes around the 7923rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7920 | 80923 | 6 |
| 7921 | 80929 | 6 |
| 7922 | 80933 | 4 |
| 7923 | 80953 | 20 |
| 7924 | 80963 | 10 |
| 7925 | 80989 | 26 |
| 7926 | 81001 | 12 |
Questions
What is the 7923rd prime number?
80953.
Which prime number is 80953?
80953 is the 7923rd prime number.
What is the sum of the first 7923 primes?
303,411,576.