Primogems calculator

Wishes to Primogems

For a quick answer, use the two boxes below. They need no other settings.

Each wish is one Fate and each Fate is 160 Primogems, so wishes to Primogems is multiplication by 160. A full 10-wish pull is 1,600 Primogems, and the 90 wishes behind the pity guarantee are 14,400. Wishes you can already pay for with Fates you own do not need Primogems at all.

12960 Primogems to wishes and other common amounts

This table works without any script. It divides each amount by 160 and keeps the remainder.

How many wishes is 8080 Primogems

8,080 Primogems buys 50 wishes and leaves 80 Primogems. That is five 10-wish pulls. If you also hold a few Fates, add them to the 50.

12960 Primogems to wishes

12,960 Primogems is exactly 81 wishes, with nothing left. Because pity is 90 wishes, you would need 9 more wishes, which is 1,440 Primogems, to be sure of the guarantee from a fresh count.

How long does saving take

These figures assume 30 days of income, with the rates from the next section.

Starting from nothing, Daily Commissions alone would take 240 days to reach 14,400 Primogems. One 30-day Welkin Moon plus commissions would take 195 days: 30 days at 150 a day gives 4,500, and the remaining 9,900 at 60 a day takes 165 more. If you renew the Welkin Moon every 30 days so it never lapses, it is 96 days at 150 a day. Real accounts also earn from events and exploration, which you can add in the Other box above.

The rules this calculator uses

Each number below is stated in at least two of the guides we read on Oct 30, 2026, except where we say otherwise. The guides were published between 2021 and 2024, and the game changes, so treat the numbers as a baseline and confirm anything important in the game.

• 160 Primogems per Fate. One wish costs one Fate, and a Fate costs 160 Primogems. GG Recon, CharlieINTEL and Codashop all say so.
• 5 Masterless Starglitter per Fate. CharlieINTEL and GG Recon both give five Starglitter for an Intertwined or Acquaint Fate in Paimon's Bargains.
• 60 Primogems a day from Daily Commissions. ONE Esports calls it a constant 60 a day, and CharlieINTEL splits it into 40 for four commissions plus 20 from the Adventurers' Guild reward.
• 90 Primogems a day for 30 days from the Welkin Moon. CharlieINTEL and Codashop both give 90 a day, 2,700 over 30 days.
• Acquaint Fates are not for the event banners. ONE Esports and GG Recon tie them to the standard banner. Neither lists the character event banner, which is why they stay out of the character-banner count.
• Pity of 90. ONE Esports, GamesAtlas and GG Recon say a 5-star is guaranteed by wish 90 on the character banner. GamesAtlas puts the soft pity, where the chance rises, at about 75 wishes, and no second guide we read gives that number.

We did not use the Genshin Impact Fandom wiki: it returned an access error when we tried it once, and we did not try again. Weapon banners use a different pity count, which this page does not cover.

How the figures are worked out

Everything uses whole numbers. Wishes now are your Primogems divided by 160, rounded down, plus your Intertwined Fates, plus your Starglitter divided by five, rounded down. Primogems gained are the days times 60 if commissions are on, plus 90 for each Welkin day that falls inside the period. Expected extra Primogems are added only to the total on the target date, never to today's stock. The shortfall for pity is the wishes you still need times 160, minus everything you have or will have by then. The days-to-pity result steps forward one day at a time using only the daily income, so the extra box is not spread over the days, until the stock covers that cost.

What can change this

HoYoverse can change prices, rewards and pity. The calculator ignores the free Fates and Primogems that come from events, Spiral Abyss and mail unless you enter them, and it does not know your banner, your luck or whether your last 5-star was the featured character. For free in-game rewards in another game, see our Roblox code lists.