diff --git a/src/app/auth/login/__tests__/page.browser.test.tsx b/src/app/auth/login/__tests__/page.browser.test.tsx
index e40943d97..c20442d4c 100644
--- a/src/app/auth/login/__tests__/page.browser.test.tsx
+++ b/src/app/auth/login/__tests__/page.browser.test.tsx
@@ -3,12 +3,19 @@
  *
  * Single sign-on leaves the page for the identity provider and the session
  * starts on the way back, so the previous account's offline copies have to
- * be gone before the page is left.
+ * be gone before the page is left. A sign-in that stays in the app replaces
+ * the sign-in page in the history, so Back does not show the form again.
  */
 import { afterEach, beforeEach, describe, expect, it, vi } from "vitest";
 
-import { stubFetch } from "../../../../../tests/browser/fetch-stub";
+import { page } from "vitest/browser";
+
+import {
+  stubFetch,
+  type FetchStub,
+} from "../../../../../tests/browser/fetch-stub";
 import { renderWithApp } from "../../../../../tests/browser/render";
+import { recordHistory } from "../../../../../tests/browser/url";
 
 const clearOffline = vi.hoisted(() => vi.fn(async () => {}));
 const loadDocument = vi.hoisted(() => vi.fn());
@@ -20,8 +27,10 @@ vi.mock("@/lib/navigation/load-document", () => ({ loadDocument }));
 
 import LoginPage from "../page";
 
+let api: FetchStub;
+
 beforeEach(() => {
-  stubFetch()
+  api = stubFetch()
     .on("GET", "/api/auth/registration-status", {
       data: { registrationEnabled: false, sessionCookieSecure: false },
     })
@@ -50,3 +59,23 @@ describe("sign-in page, single sign-on", () => {
     );
   });
 });
+
+describe("sign-in page, password", () => {
+  it("replaces itself with the page asked for", async () => {
+    api.on("POST", "/api/auth/login", { data: { id: "signed-in" } });
+    window.history.replaceState(null, "", "/auth/login?next=%2Fmood%3Fadd%3D1");
+    const history = recordHistory();
+    const { screen } = await renderWithApp(<LoginPage />, { user: null });
+
+    await screen.getByTestId("login-use-password").click();
+    await screen.getByTestId("login-email").fill("someone");
+    await page
+      .elementLocator(document.querySelector("#password")!)
+      .fill("a long enough passphrase");
+    await screen.getByTestId("login-password-submit").click();
+
+    await expect.poll(() => window.location.pathname).toBe("/mood");
+    expect(window.location.search).toBe("?add=1");
+    expect(history.pushes()).toEqual([]);
+  });
+});
diff --git a/src/app/auth/login/page.tsx b/src/app/auth/login/page.tsx
index 7aa4db1ce..60eb3b53b 100644
--- a/src/app/auth/login/page.tsx
+++ b/src/app/auth/login/page.tsx
@@ -236,7 +236,7 @@ export default function LoginPage() {
     if (target === "/" && isDashboardSnapshotEnabled()) {
       prefetchDashboardSnapshot(queryClient);
     }
-    router.push(target);
+    router.replace(target);
   }
 
   async function handlePasskeyLogin() {
diff --git a/src/app/auth/register/__tests__/page.browser.test.tsx b/src/app/auth/register/__tests__/page.browser.test.tsx
index 798139d4d..0182022db 100644
--- a/src/app/auth/register/__tests__/page.browser.test.tsx
+++ b/src/app/auth/register/__tests__/page.browser.test.tsx
@@ -3,7 +3,8 @@
  *
  * A new account starts from an empty cache, like every other sign-in: the
  * client cache outlives the navigation, and nothing read before the account
- * existed belongs to it.
+ * existed belongs to it. The app replaces the page in the history, so Back
+ * does not show the form again.
  */
 import { describe, expect, it } from "vitest";
 import { page } from "vitest/browser";
@@ -12,6 +13,7 @@ import { queryKeys } from "@/lib/query-keys";
 
 import { stubFetch } from "../../../../../tests/browser/fetch-stub";
 import { renderWithApp } from "../../../../../tests/browser/render";
+import { recordHistory } from "../../../../../tests/browser/url";
 import RegisterPage from "../page";
 
 async function fill(selector: string, value: string): Promise<void> {
@@ -24,6 +26,7 @@ describe("registration page", () => {
       .on("GET", "/api/auth/me", { status: 401, error: "Unauthorized" })
       .on("POST", "/api/auth/register", { data: { id: "new-account" } });
     window.history.replaceState(null, "", "/auth/register");
+    const history = recordHistory();
     const { screen, queryClient } = await renderWithApp(<RegisterPage />, {
       user: null,
     });
@@ -37,6 +40,7 @@ describe("registration page", () => {
 
     await expect.poll(() => window.location.pathname).toBe("/");
     expect(api.calls("POST", "/api/auth/register")).toHaveLength(1);
+    expect(history.pushes()).toEqual([]);
     expect(queryClient.getQueryData(queryKeys.dashboardSnapshot())).toBe(
       undefined,
     );
diff --git a/src/app/auth/register/page.tsx b/src/app/auth/register/page.tsx
index df5167099..d88ba1c32 100644
--- a/src/app/auth/register/page.tsx
+++ b/src/app/auth/register/page.tsx
@@ -74,7 +74,7 @@ export default function RegisterPage() {
       });
 
       queryClient.clear(); // nothing cached before belongs to the new account
-      router.push("/");
+      router.replace("/");
     } catch (err) {
       setError(
         err instanceof ApiError && err.message
diff --git a/src/components/auth/__tests__/claim-profile.browser.test.tsx b/src/components/auth/__tests__/claim-profile.browser.test.tsx
index 04d5cb3d8..210081d0d 100644
--- a/src/components/auth/__tests__/claim-profile.browser.test.tsx
+++ b/src/components/auth/__tests__/claim-profile.browser.test.tsx
@@ -2,9 +2,10 @@
  * Taking over a managed profile, driven by the claim page's buttons.
  *
  * Both ways in start a session for a different account than whatever this
- * browser held before: the password claim stays in the single-page app and
- * starts from an empty cache, the single-sign-on claim leaves for the
- * identity provider and clears the offline copies before it goes.
+ * browser held before: the password claim stays in the single-page app,
+ * starts from an empty cache and replaces the claim page in the history; the
+ * single-sign-on claim leaves for the identity provider and clears the
+ * offline copies before it goes.
  */
 import { afterEach, beforeEach, describe, expect, it, vi } from "vitest";
 import { page } from "vitest/browser";
@@ -16,6 +17,7 @@ import {
   type FetchStub,
 } from "../../../../tests/browser/fetch-stub";
 import { renderWithApp } from "../../../../tests/browser/render";
+import { recordHistory } from "../../../../tests/browser/url";
 
 const clearOffline = vi.hoisted(() => vi.fn(async () => {}));
 const loadDocument = vi.hoisted(() => vi.fn());
@@ -70,6 +72,7 @@ async function click(slot: string): Promise<void> {
 
 describe("ClaimProfile", () => {
   it("starts the claimed account from an empty cache", async () => {
+    const history = recordHistory();
     const { queryClient } = await renderWithApp(
       <ClaimProfile token={TOKEN} />,
       {
@@ -87,6 +90,7 @@ describe("ClaimProfile", () => {
       .poll(() => window.location.pathname)
       .toBe("/onboarding/handover");
     expect(api.calls("POST", "/api/auth/claim")).toHaveLength(1);
+    expect(history.pushes()).toEqual([]);
     expect(queryClient.getQueryData(queryKeys.dashboardSnapshot())).toBe(
       undefined,
     );
diff --git a/src/components/auth/claim-profile.tsx b/src/components/auth/claim-profile.tsx
index a930826b4..d15a6db16 100644
--- a/src/components/auth/claim-profile.tsx
+++ b/src/components/auth/claim-profile.tsx
@@ -122,7 +122,7 @@ export function ClaimProfile({
         onSuccess: () => {
           // As after any sign-in: nothing cached before belongs to this account.
           queryClient.clear();
-          router.push("/onboarding/handover");
+          router.replace("/onboarding/handover");
         },
       },
     );