Genshin Impact Primogem Calculator

How Does the Formula Work?

The Genshin Impact Primogem Calculator helps Travelers plan their wishing strategy with accurate v5.0+ mechanics. It converts all your resources (primogems, Intertwined Fates, and Masterless Starglitter) into total available wishes, then calculates exactly how many more you need to reach soft pity, hard pity, or worst-case guarantee on both character and weapon banners.

Character Banner Pity System

The character event banner guarantees a 5-star within 90 wishes (hard pity). Soft pity begins at wish 74, where the base 0.6% rate jumps to approximately 6.6% and continues climbing with each subsequent wish. Most players receive their 5-star between wishes 74-82, with the statistical average around 77 wishes. When you pull a 5-star, there is a 50% chance it is the featured character and 50% chance it is a standard character (Diluc, Jean, Qiqi, Keqing, Mona, Tighnari, or Dehya). If you receive a standard character (losing the 50/50), your next 5-star is guaranteed to be the featured character, making the absolute worst case 180 wishes or 28,800 primogems.

Capturing Radiance (Version 5.0)

Introduced in August 2024, Capturing Radiance adds a safety net to the 50/50 system. When you lose the 50/50, there is approximately a 10% chance that the standard 5-star converts into the featured character instead. This raises the effective featured character rate from 50% to approximately 55%. The system uses a hidden counter (C-State): after consecutive 50/50 losses, the conversion chance increases progressively. After three consecutive losses, the next 50/50 outcome is guaranteed to be the featured character, meaning you can never lose four 50/50s in a row. Capturing Radiance does not affect pity counters and operates independently of the guarantee system.

Weapon Banner and Epitomized Path (v5.0)

The weapon banner has hard pity at 80 wishes with soft pity starting around wish 63. It uses a 75/25 system: 75% chance for one of the two featured weapons, 25% for a standard weapon. Version 5.0 significantly improved the Epitomized Path by reducing the required Fate Points from 2 to 1. Now you only need to fail once (getting the wrong weapon) before your next 5-star is guaranteed to be your chosen weapon. This reduced the worst case from 240 wishes (38,400 primogems) to 160 wishes (25,600 primogems), a massive improvement that makes the weapon banner a more viable investment for planned spending.

Resource Conversion

The calculator accepts three resource types: primogems (160 per wish), Intertwined Fates (1 per wish), and Masterless Starglitter (5 per Fate from Paimon Bargains). All resources are converted to total available wishes for an accurate count. The remaining primogems indicator shows exactly how many more primogems you need to earn, and the savings plan calculates how many days at your daily earning rate it will take to reach each milestone.

Daily Income Sources

F2P players earn approximately 60 primogems daily from commissions. Welkin Moon ($4.99/month) adds 90 per day, the best value purchase in the game. Events across a 6-week patch provide 1,000-2,000 primogems. Spiral Abyss gives up to 600 biweekly. Combined, an active F2P player averages 80-100 primogems per day, while a Welkin player reaches 150-170. At 150 primogems per day, saving for a guaranteed character (worst case 28,800) takes 192 days. The calculator projects these timelines based on your personal daily rate.

Constellation Planning

Many endgame players target specific constellations (C1, C2, C6) for power spikes. Each additional copy requires a full pity cycle. A C6 character in the absolute worst case needs 7 copies at 180 wishes each, 1,260 wishes or 201,600 primogems. However, with Capturing Radiance improving odds and soft pity reducing average pulls to around 77, the realistic average for C6 is closer to 650-700 wishes. The calculator helps you evaluate whether targeting constellations is achievable with your savings rate, or whether spreading resources across new characters provides more account value.

Banner Schedule Awareness

Genshin Impact runs 6-week patch cycles with two 3-week banner phases each. Character reruns typically appear 6-12 months after their debut. Thanks to drip marketing and beta leaks, upcoming banners for the next 1-2 patches are usually known in advance. The savings plan feature of this calculator becomes most powerful when you know exactly when your target character will appear, enter your daily income and see whether you will have enough primogems by that date, or if you need to supplement with Welkin Moon or battle pass.